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Finding the Fourth Proportional to 9,159.49, 13,740.32 and 2,917.33

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Solution

The fourth proportional to 9,159.49, 13,740.32 and 2,917.33 is: 4,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.49 : 13,740.32 = 2,917.33 : x
  2. Step 2: Convert to fraction form
    9,159.49/13,740.32 = 2,917.33/x
  3. Step 3: Cross multiply
    9,159.49x = 13,740.32 × 2,917.33
  4. Step 4: Simplify right side
    9,159.49x = 40,085,033.16
  5. Step 5: Solve for x
    x = 40,085,033.16/9,159.49
  6. Step 6: Final answer
    x = 4,376.34

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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.