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Finding the Fourth Proportional to 9,159.31, 13,730.86 and 4,476.70

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Solution

The fourth proportional to 9,159.31, 13,730.86 and 4,476.70 is: 6,711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.31 : 13,730.86 = 4,476.70 : x
  2. Step 2: Convert to fraction form
    9,159.31/13,730.86 = 4,476.70/x
  3. Step 3: Cross multiply
    9,159.31x = 13,730.86 × 4,476.70
  4. Step 4: Simplify right side
    9,159.31x = 61,468,940.96
  5. Step 5: Solve for x
    x = 61,468,940.96/9,159.31
  6. Step 6: Final answer
    x = 6,711.09

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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.