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Finding the Fourth Proportional to 9,714.52, 14,568.13 and 3,138.94

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Solution

The fourth proportional to 9,714.52, 14,568.13 and 3,138.94 is: 4,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.52 : 14,568.13 = 3,138.94 : x
  2. Step 2: Convert to fraction form
    9,714.52/14,568.13 = 3,138.94/x
  3. Step 3: Cross multiply
    9,714.52x = 14,568.13 × 3,138.94
  4. Step 4: Simplify right side
    9,714.52x = 45,728,441.71
  5. Step 5: Solve for x
    x = 45,728,441.71/9,714.52
  6. Step 6: Final answer
    x = 4,707.23

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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.