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Finding the Fourth Proportional to 9,702,424.80, 14,555,710.80 and 2,971,519.20

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Solution

The fourth proportional to 9,702,424.80, 14,555,710.80 and 2,971,519.20 is: 4,457,913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702,424.80 : 14,555,710.80 = 2,971,519.20 : x
  2. Step 2: Convert to fraction form
    9,702,424.80/14,555,710.80 = 2,971,519.20/x
  3. Step 3: Cross multiply
    9,702,424.80x = 14,555,710.80 × 2,971,519.20
  4. Step 4: Simplify right side
    9,702,424.80x = 43,252,574,111,847.37
  5. Step 5: Solve for x
    x = 43,252,574,111,847.37/9,702,424.80
  6. Step 6: Final answer
    x = 4,457,913.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.