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Finding the Fourth Proportional to 9,252.86, 12,766.15 and 5,476.46

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Solution

The fourth proportional to 9,252.86, 12,766.15 and 5,476.46 is: 7,555.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.86 : 12,766.15 = 5,476.46 : x
  2. Step 2: Convert to fraction form
    9,252.86/12,766.15 = 5,476.46/x
  3. Step 3: Cross multiply
    9,252.86x = 12,766.15 × 5,476.46
  4. Step 4: Simplify right side
    9,252.86x = 69,913,309.83
  5. Step 5: Solve for x
    x = 69,913,309.83/9,252.86
  6. Step 6: Final answer
    x = 7,555.86

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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.