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Finding the Fourth Proportional to 9,872.69, 14,811.60 and 2,947.19

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Solution

The fourth proportional to 9,872.69, 14,811.60 and 2,947.19 is: 4,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.69 : 14,811.60 = 2,947.19 : x
  2. Step 2: Convert to fraction form
    9,872.69/14,811.60 = 2,947.19/x
  3. Step 3: Cross multiply
    9,872.69x = 14,811.60 × 2,947.19
  4. Step 4: Simplify right side
    9,872.69x = 43,652,599.40
  5. Step 5: Solve for x
    x = 43,652,599.40/9,872.69
  6. Step 6: Final answer
    x = 4,421.55

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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.