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Finding the Fourth Proportional to 6,569.02, 9,049.85 and 4,575.97

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Solution

The fourth proportional to 6,569.02, 9,049.85 and 4,575.97 is: 6,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.02 : 9,049.85 = 4,575.97 : x
  2. Step 2: Convert to fraction form
    6,569.02/9,049.85 = 4,575.97/x
  3. Step 3: Cross multiply
    6,569.02x = 9,049.85 × 4,575.97
  4. Step 4: Simplify right side
    6,569.02x = 41,411,819.22
  5. Step 5: Solve for x
    x = 41,411,819.22/6,569.02
  6. Step 6: Final answer
    x = 6,304.11

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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.