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Finding the Fourth Proportional to 9,439.77, 14,159.54 and 2,865.71

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Solution

The fourth proportional to 9,439.77, 14,159.54 and 2,865.71 is: 4,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,439.77 : 14,159.54 = 2,865.71 : x
  2. Step 2: Convert to fraction form
    9,439.77/14,159.54 = 2,865.71/x
  3. Step 3: Cross multiply
    9,439.77x = 14,159.54 × 2,865.71
  4. Step 4: Simplify right side
    9,439.77x = 40,577,050.25
  5. Step 5: Solve for x
    x = 40,577,050.25/9,439.77
  6. Step 6: Final answer
    x = 4,298.52

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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.