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Finding the Fourth Proportional to 9,187.58, 13,778.13 and 4,256.30

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Solution

The fourth proportional to 9,187.58, 13,778.13 and 4,256.30 is: 6,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.58 : 13,778.13 = 4,256.30 : x
  2. Step 2: Convert to fraction form
    9,187.58/13,778.13 = 4,256.30/x
  3. Step 3: Cross multiply
    9,187.58x = 13,778.13 × 4,256.30
  4. Step 4: Simplify right side
    9,187.58x = 58,643,854.72
  5. Step 5: Solve for x
    x = 58,643,854.72/9,187.58
  6. Step 6: Final answer
    x = 6,382.95

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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.