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Finding the Fourth Proportional to 9,752.52, 13,464.18 and 6,218.76

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Solution

The fourth proportional to 9,752.52, 13,464.18 and 6,218.76 is: 8,585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.52 : 13,464.18 = 6,218.76 : x
  2. Step 2: Convert to fraction form
    9,752.52/13,464.18 = 6,218.76/x
  3. Step 3: Cross multiply
    9,752.52x = 13,464.18 × 6,218.76
  4. Step 4: Simplify right side
    9,752.52x = 83,730,504.02
  5. Step 5: Solve for x
    x = 83,730,504.02/9,752.52
  6. Step 6: Final answer
    x = 8,585.52

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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.