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Finding the Fourth Proportional to 9,655.80, 14,483.97 and 3,414.93

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Solution

The fourth proportional to 9,655.80, 14,483.97 and 3,414.93 is: 5,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.80 : 14,483.97 = 3,414.93 : x
  2. Step 2: Convert to fraction form
    9,655.80/14,483.97 = 3,414.93/x
  3. Step 3: Cross multiply
    9,655.80x = 14,483.97 × 3,414.93
  4. Step 4: Simplify right side
    9,655.80x = 49,461,743.67
  5. Step 5: Solve for x
    x = 49,461,743.67/9,655.80
  6. Step 6: Final answer
    x = 5,122.49

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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.