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Finding the Fourth Proportional to 9,280.80, 13,908.16 and 5,122.76

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Solution

The fourth proportional to 9,280.80, 13,908.16 and 5,122.76 is: 7,676.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.80 : 13,908.16 = 5,122.76 : x
  2. Step 2: Convert to fraction form
    9,280.80/13,908.16 = 5,122.76/x
  3. Step 3: Cross multiply
    9,280.80x = 13,908.16 × 5,122.76
  4. Step 4: Simplify right side
    9,280.80x = 71,248,165.72
  5. Step 5: Solve for x
    x = 71,248,165.72/9,280.80
  6. Step 6: Final answer
    x = 7,676.94

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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.