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Finding the Fourth Proportional to 9,252.83, 13,888.36 and 6,780.61

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Solution

The fourth proportional to 9,252.83, 13,888.36 and 6,780.61 is: 10,177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.83 : 13,888.36 = 6,780.61 : x
  2. Step 2: Convert to fraction form
    9,252.83/13,888.36 = 6,780.61/x
  3. Step 3: Cross multiply
    9,252.83x = 13,888.36 × 6,780.61
  4. Step 4: Simplify right side
    9,252.83x = 94,171,578.54
  5. Step 5: Solve for x
    x = 94,171,578.54/9,252.83
  6. Step 6: Final answer
    x = 10,177.59

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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.