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Finding the Fourth Proportional to 9,488.57, 13,094.16 and 5,239.90

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Solution

The fourth proportional to 9,488.57, 13,094.16 and 5,239.90 is: 7,231.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.57 : 13,094.16 = 5,239.90 : x
  2. Step 2: Convert to fraction form
    9,488.57/13,094.16 = 5,239.90/x
  3. Step 3: Cross multiply
    9,488.57x = 13,094.16 × 5,239.90
  4. Step 4: Simplify right side
    9,488.57x = 68,612,023.51
  5. Step 5: Solve for x
    x = 68,612,023.51/9,488.57
  6. Step 6: Final answer
    x = 7,231.02

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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.