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Finding the Fourth Proportional to 9,498.96, 13,108.32 and 5,520.78

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Solution

The fourth proportional to 9,498.96, 13,108.32 and 5,520.78 is: 7,618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.96 : 13,108.32 = 5,520.78 : x
  2. Step 2: Convert to fraction form
    9,498.96/13,108.32 = 5,520.78/x
  3. Step 3: Cross multiply
    9,498.96x = 13,108.32 × 5,520.78
  4. Step 4: Simplify right side
    9,498.96x = 72,368,150.89
  5. Step 5: Solve for x
    x = 72,368,150.89/9,498.96
  6. Step 6: Final answer
    x = 7,618.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.