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Finding the Fourth Proportional to 9,488.50, 13,094.05 and 5,239.56

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Solution

The fourth proportional to 9,488.50, 13,094.05 and 5,239.56 is: 7,230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.50 : 13,094.05 = 5,239.56 : x
  2. Step 2: Convert to fraction form
    9,488.50/13,094.05 = 5,239.56/x
  3. Step 3: Cross multiply
    9,488.50x = 13,094.05 × 5,239.56
  4. Step 4: Simplify right side
    9,488.50x = 68,607,060.62
  5. Step 5: Solve for x
    x = 68,607,060.62/9,488.50
  6. Step 6: Final answer
    x = 7,230.55

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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.