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Finding the Fourth Proportional to 6,545.17, 9,032.36 and 3,560.98

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Solution

The fourth proportional to 6,545.17, 9,032.36 and 3,560.98 is: 4,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.17 : 9,032.36 = 3,560.98 : x
  2. Step 2: Convert to fraction form
    6,545.17/9,032.36 = 3,560.98/x
  3. Step 3: Cross multiply
    6,545.17x = 9,032.36 × 3,560.98
  4. Step 4: Simplify right side
    6,545.17x = 32,164,049.89
  5. Step 5: Solve for x
    x = 32,164,049.89/6,545.17
  6. Step 6: Final answer
    x = 4,914.16

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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.