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Finding the Fourth Proportional to 9,690.98, 14,536.53 and 4,139.64

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Solution

The fourth proportional to 9,690.98, 14,536.53 and 4,139.64 is: 6,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.98 : 14,536.53 = 4,139.64 : x
  2. Step 2: Convert to fraction form
    9,690.98/14,536.53 = 4,139.64/x
  3. Step 3: Cross multiply
    9,690.98x = 14,536.53 × 4,139.64
  4. Step 4: Simplify right side
    9,690.98x = 60,176,001.05
  5. Step 5: Solve for x
    x = 60,176,001.05/9,690.98
  6. Step 6: Final answer
    x = 6,209.49

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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.