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Finding the Fourth Proportional to 8,947.40, 12,347.62 and 5,409.96

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Solution

The fourth proportional to 8,947.40, 12,347.62 and 5,409.96 is: 7,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.40 : 12,347.62 = 5,409.96 : x
  2. Step 2: Convert to fraction form
    8,947.40/12,347.62 = 5,409.96/x
  3. Step 3: Cross multiply
    8,947.40x = 12,347.62 × 5,409.96
  4. Step 4: Simplify right side
    8,947.40x = 66,800,130.30
  5. Step 5: Solve for x
    x = 66,800,130.30/8,947.40
  6. Step 6: Final answer
    x = 7,465.87

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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.