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Finding the Fourth Proportional to 9,077.76, 12,521.87 and 5,714.73

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Solution

The fourth proportional to 9,077.76, 12,521.87 and 5,714.73 is: 7,882.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.76 : 12,521.87 = 5,714.73 : x
  2. Step 2: Convert to fraction form
    9,077.76/12,521.87 = 5,714.73/x
  3. Step 3: Cross multiply
    9,077.76x = 12,521.87 × 5,714.73
  4. Step 4: Simplify right side
    9,077.76x = 71,559,077.57
  5. Step 5: Solve for x
    x = 71,559,077.57/9,077.76
  6. Step 6: Final answer
    x = 7,882.90

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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.