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Finding the Fourth Proportional to 6,545.34, 9,032.66 and 3,561.18

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Solution

The fourth proportional to 6,545.34, 9,032.66 and 3,561.18 is: 4,914.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.34 : 9,032.66 = 3,561.18 : x
  2. Step 2: Convert to fraction form
    6,545.34/9,032.66 = 3,561.18/x
  3. Step 3: Cross multiply
    6,545.34x = 9,032.66 × 3,561.18
  4. Step 4: Simplify right side
    6,545.34x = 32,166,926.78
  5. Step 5: Solve for x
    x = 32,166,926.78/6,545.34
  6. Step 6: Final answer
    x = 4,914.48

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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.