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Finding the Fourth Proportional to 6,546.17, 9,032.10 and 4,028.69

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Solution

The fourth proportional to 6,546.17, 9,032.10 and 4,028.69 is: 5,558.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.17 : 9,032.10 = 4,028.69 : x
  2. Step 2: Convert to fraction form
    6,546.17/9,032.10 = 4,028.69/x
  3. Step 3: Cross multiply
    6,546.17x = 9,032.10 × 4,028.69
  4. Step 4: Simplify right side
    6,546.17x = 36,387,530.95
  5. Step 5: Solve for x
    x = 36,387,530.95/6,546.17
  6. Step 6: Final answer
    x = 5,558.60

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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.