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Finding the Fourth Proportional to 6,529.61, 9,010.88 and 3,545.46

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Solution

The fourth proportional to 6,529.61, 9,010.88 and 3,545.46 is: 4,892.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.61 : 9,010.88 = 3,545.46 : x
  2. Step 2: Convert to fraction form
    6,529.61/9,010.88 = 3,545.46/x
  3. Step 3: Cross multiply
    6,529.61x = 9,010.88 × 3,545.46
  4. Step 4: Simplify right side
    6,529.61x = 31,947,714.60
  5. Step 5: Solve for x
    x = 31,947,714.60/6,529.61
  6. Step 6: Final answer
    x = 4,892.74

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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.