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Finding the Fourth Proportional to 10,095.91, 13,932.15 and 6,321.16

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Solution

The fourth proportional to 10,095.91, 13,932.15 and 6,321.16 is: 8,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.91 : 13,932.15 = 6,321.16 : x
  2. Step 2: Convert to fraction form
    10,095.91/13,932.15 = 6,321.16/x
  3. Step 3: Cross multiply
    10,095.91x = 13,932.15 × 6,321.16
  4. Step 4: Simplify right side
    10,095.91x = 88,067,314.46
  5. Step 5: Solve for x
    x = 88,067,314.46/10,095.91
  6. Step 6: Final answer
    x = 8,723.07

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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.