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Finding the Fourth Proportional to 9,488.72, 13,095.20 and 5,240.16

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Solution

The fourth proportional to 9,488.72, 13,095.20 and 5,240.16 is: 7,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.72 : 13,095.20 = 5,240.16 : x
  2. Step 2: Convert to fraction form
    9,488.72/13,095.20 = 5,240.16/x
  3. Step 3: Cross multiply
    9,488.72x = 13,095.20 × 5,240.16
  4. Step 4: Simplify right side
    9,488.72x = 68,620,917.03
  5. Step 5: Solve for x
    x = 68,620,917.03/9,488.72
  6. Step 6: Final answer
    x = 7,231.85

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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.