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Finding the Fourth Proportional to 9,280.76, 13,921.13 and 2,260.77

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Solution

The fourth proportional to 9,280.76, 13,921.13 and 2,260.77 is: 3,391.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.76 : 13,921.13 = 2,260.77 : x
  2. Step 2: Convert to fraction form
    9,280.76/13,921.13 = 2,260.77/x
  3. Step 3: Cross multiply
    9,280.76x = 13,921.13 × 2,260.77
  4. Step 4: Simplify right side
    9,280.76x = 31,472,478.72
  5. Step 5: Solve for x
    x = 31,472,478.72/9,280.76
  6. Step 6: Final answer
    x = 3,391.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.