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Finding the Fourth Proportional to 6,545.36, 9,032.54 and 3,561.15

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Solution

The fourth proportional to 6,545.36, 9,032.54 and 3,561.15 is: 4,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.36 : 9,032.54 = 3,561.15 : x
  2. Step 2: Convert to fraction form
    6,545.36/9,032.54 = 3,561.15/x
  3. Step 3: Cross multiply
    6,545.36x = 9,032.54 × 3,561.15
  4. Step 4: Simplify right side
    6,545.36x = 32,166,229.82
  5. Step 5: Solve for x
    x = 32,166,229.82/6,545.36
  6. Step 6: Final answer
    x = 4,914.36

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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.