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Finding the Fourth Proportional to 9,488.64, 13,093.97 and 5,239.61

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Solution

The fourth proportional to 9,488.64, 13,093.97 and 5,239.61 is: 7,230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.64 : 13,093.97 = 5,239.61 : x
  2. Step 2: Convert to fraction form
    9,488.64/13,093.97 = 5,239.61/x
  3. Step 3: Cross multiply
    9,488.64x = 13,093.97 × 5,239.61
  4. Step 4: Simplify right side
    9,488.64x = 68,607,204.48
  5. Step 5: Solve for x
    x = 68,607,204.48/9,488.64
  6. Step 6: Final answer
    x = 7,230.46

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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.