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Finding the Fourth Proportional to 9,233.33, 13,854.88 and 5,340.47

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Solution

The fourth proportional to 9,233.33, 13,854.88 and 5,340.47 is: 8,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.33 : 13,854.88 = 5,340.47 : x
  2. Step 2: Convert to fraction form
    9,233.33/13,854.88 = 5,340.47/x
  3. Step 3: Cross multiply
    9,233.33x = 13,854.88 × 5,340.47
  4. Step 4: Simplify right side
    9,233.33x = 73,991,508.39
  5. Step 5: Solve for x
    x = 73,991,508.39/9,233.33
  6. Step 6: Final answer
    x = 8,013.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.