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Finding the Fourth Proportional to 9,965.20, 14,947.80 and 9,041.80

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Solution

The fourth proportional to 9,965.20, 14,947.80 and 9,041.80 is: 13,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.20 : 14,947.80 = 9,041.80 : x
  2. Step 2: Convert to fraction form
    9,965.20/14,947.80 = 9,041.80/x
  3. Step 3: Cross multiply
    9,965.20x = 14,947.80 × 9,041.80
  4. Step 4: Simplify right side
    9,965.20x = 135,155,018.04
  5. Step 5: Solve for x
    x = 135,155,018.04/9,965.20
  6. Step 6: Final answer
    x = 13,562.70

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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.