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Finding the Fourth Proportional to 7,141.68, 9,856.50 and 4,309.20

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Solution

The fourth proportional to 7,141.68, 9,856.50 and 4,309.20 is: 5,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.68 : 9,856.50 = 4,309.20 : x
  2. Step 2: Convert to fraction form
    7,141.68/9,856.50 = 4,309.20/x
  3. Step 3: Cross multiply
    7,141.68x = 9,856.50 × 4,309.20
  4. Step 4: Simplify right side
    7,141.68x = 42,473,629.80
  5. Step 5: Solve for x
    x = 42,473,629.80/7,141.68
  6. Step 6: Final answer
    x = 5,947.29

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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.