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Finding the Fourth Proportional to 6,545.40, 9,032.76 and 3,561.36

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Solution

The fourth proportional to 6,545.40, 9,032.76 and 3,561.36 is: 4,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.40 : 9,032.76 = 3,561.36 : x
  2. Step 2: Convert to fraction form
    6,545.40/9,032.76 = 3,561.36/x
  3. Step 3: Cross multiply
    6,545.40x = 9,032.76 × 3,561.36
  4. Step 4: Simplify right side
    6,545.40x = 32,168,910.15
  5. Step 5: Solve for x
    x = 32,168,910.15/6,545.40
  6. Step 6: Final answer
    x = 4,914.74

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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.