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Finding the Fourth Proportional to 6,546.16, 9,032.88 and 4,426.30

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Solution

The fourth proportional to 6,546.16, 9,032.88 and 4,426.30 is: 6,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.16 : 9,032.88 = 4,426.30 : x
  2. Step 2: Convert to fraction form
    6,546.16/9,032.88 = 4,426.30/x
  3. Step 3: Cross multiply
    6,546.16x = 9,032.88 × 4,426.30
  4. Step 4: Simplify right side
    6,546.16x = 39,982,236.74
  5. Step 5: Solve for x
    x = 39,982,236.74/6,546.16
  6. Step 6: Final answer
    x = 6,107.74

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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.