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Finding the Fourth Proportional to 9,211.97, 12,714.57 and 5,854.13

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Solution

The fourth proportional to 9,211.97, 12,714.57 and 5,854.13 is: 8,079.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.97 : 12,714.57 = 5,854.13 : x
  2. Step 2: Convert to fraction form
    9,211.97/12,714.57 = 5,854.13/x
  3. Step 3: Cross multiply
    9,211.97x = 12,714.57 × 5,854.13
  4. Step 4: Simplify right side
    9,211.97x = 74,432,682.10
  5. Step 5: Solve for x
    x = 74,432,682.10/9,211.97
  6. Step 6: Final answer
    x = 8,079.99

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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.