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Finding the Fourth Proportional to 9,714.32, 14,573.40 and 6,246.80

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Solution

The fourth proportional to 9,714.32, 14,573.40 and 6,246.80 is: 9,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.32 : 14,573.40 = 6,246.80 : x
  2. Step 2: Convert to fraction form
    9,714.32/14,573.40 = 6,246.80/x
  3. Step 3: Cross multiply
    9,714.32x = 14,573.40 × 6,246.80
  4. Step 4: Simplify right side
    9,714.32x = 91,037,115.12
  5. Step 5: Solve for x
    x = 91,037,115.12/9,714.32
  6. Step 6: Final answer
    x = 9,371.43

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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.