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Finding the Fourth Proportional to 9,714.72, 14,572.88 and 3,141.96

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Solution

The fourth proportional to 9,714.72, 14,572.88 and 3,141.96 is: 4,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.72 : 14,572.88 = 3,141.96 : x
  2. Step 2: Convert to fraction form
    9,714.72/14,572.88 = 3,141.96/x
  3. Step 3: Cross multiply
    9,714.72x = 14,572.88 × 3,141.96
  4. Step 4: Simplify right side
    9,714.72x = 45,787,406.04
  5. Step 5: Solve for x
    x = 45,787,406.04/9,714.72
  6. Step 6: Final answer
    x = 4,713.20

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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.