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Finding the Fourth Proportional to 6,545.35, 9,032.63 and 3,561.21

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Solution

The fourth proportional to 6,545.35, 9,032.63 and 3,561.21 is: 4,914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545.35 : 9,032.63 = 3,561.21 : x
  2. Step 2: Convert to fraction form
    6,545.35/9,032.63 = 3,561.21/x
  3. Step 3: Cross multiply
    6,545.35x = 9,032.63 × 3,561.21
  4. Step 4: Simplify right side
    6,545.35x = 32,167,081.15
  5. Step 5: Solve for x
    x = 32,167,081.15/6,545.35
  6. Step 6: Final answer
    x = 4,914.49

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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.