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Finding the Fourth Proportional to 9,159.47, 13,739.17 and 3,314.71

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Solution

The fourth proportional to 9,159.47, 13,739.17 and 3,314.71 is: 4,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.47 : 13,739.17 = 3,314.71 : x
  2. Step 2: Convert to fraction form
    9,159.47/13,739.17 = 3,314.71/x
  3. Step 3: Cross multiply
    9,159.47x = 13,739.17 × 3,314.71
  4. Step 4: Simplify right side
    9,159.47x = 45,541,364.19
  5. Step 5: Solve for x
    x = 45,541,364.19/9,159.47
  6. Step 6: Final answer
    x = 4,972.05

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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.