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Finding the Fourth Proportional to 6,553.92, 9,044.49 and 3,569.78

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Solution

The fourth proportional to 6,553.92, 9,044.49 and 3,569.78 is: 4,926.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.92 : 9,044.49 = 3,569.78 : x
  2. Step 2: Convert to fraction form
    6,553.92/9,044.49 = 3,569.78/x
  3. Step 3: Cross multiply
    6,553.92x = 9,044.49 × 3,569.78
  4. Step 4: Simplify right side
    6,553.92x = 32,286,875.51
  5. Step 5: Solve for x
    x = 32,286,875.51/6,553.92
  6. Step 6: Final answer
    x = 4,926.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.