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Finding the Fourth Proportional to 6,553.96, 9,044.40 and 3,569.78

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Solution

The fourth proportional to 6,553.96, 9,044.40 and 3,569.78 is: 4,926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.96 : 9,044.40 = 3,569.78 : x
  2. Step 2: Convert to fraction form
    6,553.96/9,044.40 = 3,569.78/x
  3. Step 3: Cross multiply
    6,553.96x = 9,044.40 × 3,569.78
  4. Step 4: Simplify right side
    6,553.96x = 32,286,518.23
  5. Step 5: Solve for x
    x = 32,286,518.23/6,553.96
  6. Step 6: Final answer
    x = 4,926.26

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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.