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Finding the Fourth Proportional to 9,439.64, 14,159.76 and 3,518

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Solution

The fourth proportional to 9,439.64, 14,159.76 and 3,518 is: 5,277.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,439.64 : 14,159.76 = 3,518 : x
  2. Step 2: Convert to fraction form
    9,439.64/14,159.76 = 3,518/x
  3. Step 3: Cross multiply
    9,439.64x = 14,159.76 × 3,518
  4. Step 4: Simplify right side
    9,439.64x = 49,814,035.68
  5. Step 5: Solve for x
    x = 49,814,035.68/9,439.64
  6. Step 6: Final answer
    x = 5,277.11

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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.