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Finding the Fourth Proportional to 8,932.64, 12,326.99 and 5,155.74

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Solution

The fourth proportional to 8,932.64, 12,326.99 and 5,155.74 is: 7,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,932.64 : 12,326.99 = 5,155.74 : x
  2. Step 2: Convert to fraction form
    8,932.64/12,326.99 = 5,155.74/x
  3. Step 3: Cross multiply
    8,932.64x = 12,326.99 × 5,155.74
  4. Step 4: Simplify right side
    8,932.64x = 63,554,729.64
  5. Step 5: Solve for x
    x = 63,554,729.64/8,932.64
  6. Step 6: Final answer
    x = 7,114.89

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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.