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Finding the Fourth Proportional to 9,637.81, 13,301.13 and 6,053.38

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Solution

The fourth proportional to 9,637.81, 13,301.13 and 6,053.38 is: 8,354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.81 : 13,301.13 = 6,053.38 : x
  2. Step 2: Convert to fraction form
    9,637.81/13,301.13 = 6,053.38/x
  3. Step 3: Cross multiply
    9,637.81x = 13,301.13 × 6,053.38
  4. Step 4: Simplify right side
    9,637.81x = 80,516,794.32
  5. Step 5: Solve for x
    x = 80,516,794.32/9,637.81
  6. Step 6: Final answer
    x = 8,354.26

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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.