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Finding the Fourth Proportional to 6,546.20, 9,032.99 and 3,713.90

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Solution

The fourth proportional to 6,546.20, 9,032.99 and 3,713.90 is: 5,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.20 : 9,032.99 = 3,713.90 : x
  2. Step 2: Convert to fraction form
    6,546.20/9,032.99 = 3,713.90/x
  3. Step 3: Cross multiply
    6,546.20x = 9,032.99 × 3,713.90
  4. Step 4: Simplify right side
    6,546.20x = 33,547,557.83
  5. Step 5: Solve for x
    x = 33,547,557.83/6,546.20
  6. Step 6: Final answer
    x = 5,124.74

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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.