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Finding the Fourth Proportional to 9,854.68, 14,787.78 and 5,959.48

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Solution

The fourth proportional to 9,854.68, 14,787.78 and 5,959.48 is: 8,942.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.68 : 14,787.78 = 5,959.48 : x
  2. Step 2: Convert to fraction form
    9,854.68/14,787.78 = 5,959.48/x
  3. Step 3: Cross multiply
    9,854.68x = 14,787.78 × 5,959.48
  4. Step 4: Simplify right side
    9,854.68x = 88,127,479.15
  5. Step 5: Solve for x
    x = 88,127,479.15/9,854.68
  6. Step 6: Final answer
    x = 8,942.70

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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.