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Finding the Fourth Proportional to 9,714.38, 14,572.86 and 3,138.98

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Solution

The fourth proportional to 9,714.38, 14,572.86 and 3,138.98 is: 4,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.38 : 14,572.86 = 3,138.98 : x
  2. Step 2: Convert to fraction form
    9,714.38/14,572.86 = 3,138.98/x
  3. Step 3: Cross multiply
    9,714.38x = 14,572.86 × 3,138.98
  4. Step 4: Simplify right side
    9,714.38x = 45,743,916.08
  5. Step 5: Solve for x
    x = 45,743,916.08/9,714.38
  6. Step 6: Final answer
    x = 4,708.89

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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.