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Finding the Fourth Proportional to 9,400.64, 12,966.24 and 6,043.52

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Solution

The fourth proportional to 9,400.64, 12,966.24 and 6,043.52 is: 8,335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.64 : 12,966.24 = 6,043.52 : x
  2. Step 2: Convert to fraction form
    9,400.64/12,966.24 = 6,043.52/x
  3. Step 3: Cross multiply
    9,400.64x = 12,966.24 × 6,043.52
  4. Step 4: Simplify right side
    9,400.64x = 78,361,730.76
  5. Step 5: Solve for x
    x = 78,361,730.76/9,400.64
  6. Step 6: Final answer
    x = 8,335.79

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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.