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Finding the Fourth Proportional to 9,047.66, 13,569.68 and 2,472.28

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Solution

The fourth proportional to 9,047.66, 13,569.68 and 2,472.28 is: 3,707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.66 : 13,569.68 = 2,472.28 : x
  2. Step 2: Convert to fraction form
    9,047.66/13,569.68 = 2,472.28/x
  3. Step 3: Cross multiply
    9,047.66x = 13,569.68 × 2,472.28
  4. Step 4: Simplify right side
    9,047.66x = 33,548,020.73
  5. Step 5: Solve for x
    x = 33,548,020.73/9,047.66
  6. Step 6: Final answer
    x = 3,707.92

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Why These Related Problems?

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