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Finding the Fourth Proportional to 27,265.68, 40,901.76 and 9,737.28

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Solution

The fourth proportional to 27,265.68, 40,901.76 and 9,737.28 is: 14,607.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,265.68 : 40,901.76 = 9,737.28 : x
  2. Step 2: Convert to fraction form
    27,265.68/40,901.76 = 9,737.28/x
  3. Step 3: Cross multiply
    27,265.68x = 40,901.76 × 9,737.28
  4. Step 4: Simplify right side
    27,265.68x = 398,271,889.61
  5. Step 5: Solve for x
    x = 398,271,889.61/27,265.68
  6. Step 6: Final answer
    x = 14,607.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.