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Finding the Fourth Proportional to 9,117.12, 12,589.92 and 6,875.16

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Solution

The fourth proportional to 9,117.12, 12,589.92 and 6,875.16 is: 9,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.12 : 12,589.92 = 6,875.16 : x
  2. Step 2: Convert to fraction form
    9,117.12/12,589.92 = 6,875.16/x
  3. Step 3: Cross multiply
    9,117.12x = 12,589.92 × 6,875.16
  4. Step 4: Simplify right side
    9,117.12x = 86,557,714.39
  5. Step 5: Solve for x
    x = 86,557,714.39/9,117.12
  6. Step 6: Final answer
    x = 9,493.98

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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.