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Finding the Fourth Proportional to 9,439.56, 14,159.40 and 2,514

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Solution

The fourth proportional to 9,439.56, 14,159.40 and 2,514 is: 3,771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,439.56 : 14,159.40 = 2,514 : x
  2. Step 2: Convert to fraction form
    9,439.56/14,159.40 = 2,514/x
  3. Step 3: Cross multiply
    9,439.56x = 14,159.40 × 2,514
  4. Step 4: Simplify right side
    9,439.56x = 35,596,731.60
  5. Step 5: Solve for x
    x = 35,596,731.60/9,439.56
  6. Step 6: Final answer
    x = 3,771.02

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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.