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Finding the Fourth Proportional to 9,171.24, 12,646.80 and 7,849.32

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Solution

The fourth proportional to 9,171.24, 12,646.80 and 7,849.32 is: 10,823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.24 : 12,646.80 = 7,849.32 : x
  2. Step 2: Convert to fraction form
    9,171.24/12,646.80 = 7,849.32/x
  3. Step 3: Cross multiply
    9,171.24x = 12,646.80 × 7,849.32
  4. Step 4: Simplify right side
    9,171.24x = 99,268,780.18
  5. Step 5: Solve for x
    x = 99,268,780.18/9,171.24
  6. Step 6: Final answer
    x = 10,823.92

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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.