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Finding the Fourth Proportional to 9,439.70, 13,029.09 and 5,714.90

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Solution

The fourth proportional to 9,439.70, 13,029.09 and 5,714.90 is: 7,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,439.70 : 13,029.09 = 5,714.90 : x
  2. Step 2: Convert to fraction form
    9,439.70/13,029.09 = 5,714.90/x
  3. Step 3: Cross multiply
    9,439.70x = 13,029.09 × 5,714.90
  4. Step 4: Simplify right side
    9,439.70x = 74,459,946.44
  5. Step 5: Solve for x
    x = 74,459,946.44/9,439.70
  6. Step 6: Final answer
    x = 7,887.96

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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.