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Finding the Fourth Proportional to 9,947.10, 14,920.65 and 2,551.80

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Solution

The fourth proportional to 9,947.10, 14,920.65 and 2,551.80 is: 3,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.10 : 14,920.65 = 2,551.80 : x
  2. Step 2: Convert to fraction form
    9,947.10/14,920.65 = 2,551.80/x
  3. Step 3: Cross multiply
    9,947.10x = 14,920.65 × 2,551.80
  4. Step 4: Simplify right side
    9,947.10x = 38,074,514.67
  5. Step 5: Solve for x
    x = 38,074,514.67/9,947.10
  6. Step 6: Final answer
    x = 3,827.70

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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.