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Finding the Fourth Proportional to 9,252.50, 12,764.86 and 5,894.71

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Solution

The fourth proportional to 9,252.50, 12,764.86 and 5,894.71 is: 8,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.50 : 12,764.86 = 5,894.71 : x
  2. Step 2: Convert to fraction form
    9,252.50/12,764.86 = 5,894.71/x
  3. Step 3: Cross multiply
    9,252.50x = 12,764.86 × 5,894.71
  4. Step 4: Simplify right side
    9,252.50x = 75,245,101.24
  5. Step 5: Solve for x
    x = 75,245,101.24/9,252.50
  6. Step 6: Final answer
    x = 8,132.41

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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.