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Finding the Fourth Proportional to 9,146.92, 13,714.62 and 6,023.56

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Solution

The fourth proportional to 9,146.92, 13,714.62 and 6,023.56 is: 9,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.92 : 13,714.62 = 6,023.56 : x
  2. Step 2: Convert to fraction form
    9,146.92/13,714.62 = 6,023.56/x
  3. Step 3: Cross multiply
    9,146.92x = 13,714.62 × 6,023.56
  4. Step 4: Simplify right side
    9,146.92x = 82,610,836.45
  5. Step 5: Solve for x
    x = 82,610,836.45/9,146.92
  6. Step 6: Final answer
    x = 9,031.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.