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Finding the Fourth Proportional to 9,264.92, 13,897.20 and 2,339.48

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Solution

The fourth proportional to 9,264.92, 13,897.20 and 2,339.48 is: 3,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.92 : 13,897.20 = 2,339.48 : x
  2. Step 2: Convert to fraction form
    9,264.92/13,897.20 = 2,339.48/x
  3. Step 3: Cross multiply
    9,264.92x = 13,897.20 × 2,339.48
  4. Step 4: Simplify right side
    9,264.92x = 32,512,221.46
  5. Step 5: Solve for x
    x = 32,512,221.46/9,264.92
  6. Step 6: Final answer
    x = 3,509.17

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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.