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Finding the Fourth Proportional to 9,637.38, 13,301.01 and 6,100.92

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Solution

The fourth proportional to 9,637.38, 13,301.01 and 6,100.92 is: 8,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.38 : 13,301.01 = 6,100.92 : x
  2. Step 2: Convert to fraction form
    9,637.38/13,301.01 = 6,100.92/x
  3. Step 3: Cross multiply
    9,637.38x = 13,301.01 × 6,100.92
  4. Step 4: Simplify right side
    9,637.38x = 81,148,397.93
  5. Step 5: Solve for x
    x = 81,148,397.93/9,637.38
  6. Step 6: Final answer
    x = 8,420.17

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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.