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Finding the Fourth Proportional to 6,546.97, 9,032.29 and 4,657.96

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Solution

The fourth proportional to 6,546.97, 9,032.29 and 4,657.96 is: 6,426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.97 : 9,032.29 = 4,657.96 : x
  2. Step 2: Convert to fraction form
    6,546.97/9,032.29 = 4,657.96/x
  3. Step 3: Cross multiply
    6,546.97x = 9,032.29 × 4,657.96
  4. Step 4: Simplify right side
    6,546.97x = 42,072,045.53
  5. Step 5: Solve for x
    x = 42,072,045.53/6,546.97
  6. Step 6: Final answer
    x = 6,426.19

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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.