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Finding the Fourth Proportional to 9,160.87, 13,740.54 and 2,920.63

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Solution

The fourth proportional to 9,160.87, 13,740.54 and 2,920.63 is: 4,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.87 : 13,740.54 = 2,920.63 : x
  2. Step 2: Convert to fraction form
    9,160.87/13,740.54 = 2,920.63/x
  3. Step 3: Cross multiply
    9,160.87x = 13,740.54 × 2,920.63
  4. Step 4: Simplify right side
    9,160.87x = 40,131,033.34
  5. Step 5: Solve for x
    x = 40,131,033.34/9,160.87
  6. Step 6: Final answer
    x = 4,380.70

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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.