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Finding the Fourth Proportional to 9,947.87, 14,920.68 and 2,552.49

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Solution

The fourth proportional to 9,947.87, 14,920.68 and 2,552.49 is: 3,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.87 : 14,920.68 = 2,552.49 : x
  2. Step 2: Convert to fraction form
    9,947.87/14,920.68 = 2,552.49/x
  3. Step 3: Cross multiply
    9,947.87x = 14,920.68 × 2,552.49
  4. Step 4: Simplify right side
    9,947.87x = 38,084,886.49
  5. Step 5: Solve for x
    x = 38,084,886.49/9,947.87
  6. Step 6: Final answer
    x = 3,828.45

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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.