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Finding the Fourth Proportional to 9,637.10, 13,298.96 and 5,860.38

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Solution

The fourth proportional to 9,637.10, 13,298.96 and 5,860.38 is: 8,087.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.10 : 13,298.96 = 5,860.38 : x
  2. Step 2: Convert to fraction form
    9,637.10/13,298.96 = 5,860.38/x
  3. Step 3: Cross multiply
    9,637.10x = 13,298.96 × 5,860.38
  4. Step 4: Simplify right side
    9,637.10x = 77,936,929.90
  5. Step 5: Solve for x
    x = 77,936,929.90/9,637.10
  6. Step 6: Final answer
    x = 8,087.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.