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Finding the Fourth Proportional to 9,528.60, 13,171.50 and 7,947.48

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Solution

The fourth proportional to 9,528.60, 13,171.50 and 7,947.48 is: 10,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.60 : 13,171.50 = 7,947.48 : x
  2. Step 2: Convert to fraction form
    9,528.60/13,171.50 = 7,947.48/x
  3. Step 3: Cross multiply
    9,528.60x = 13,171.50 × 7,947.48
  4. Step 4: Simplify right side
    9,528.60x = 104,680,232.82
  5. Step 5: Solve for x
    x = 104,680,232.82/9,528.60
  6. Step 6: Final answer
    x = 10,985.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.