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Finding the Fourth Proportional to 6,553.76, 9,044.24 and 3,569.63

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Solution

The fourth proportional to 6,553.76, 9,044.24 and 3,569.63 is: 4,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.76 : 9,044.24 = 3,569.63 : x
  2. Step 2: Convert to fraction form
    6,553.76/9,044.24 = 3,569.63/x
  3. Step 3: Cross multiply
    6,553.76x = 9,044.24 × 3,569.63
  4. Step 4: Simplify right side
    6,553.76x = 32,284,527.36
  5. Step 5: Solve for x
    x = 32,284,527.36/6,553.76
  6. Step 6: Final answer
    x = 4,926.11

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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.