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Finding the Fourth Proportional to 8,495.34, 12,742.29 and 2,947.74

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Solution

The fourth proportional to 8,495.34, 12,742.29 and 2,947.74 is: 4,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.34 : 12,742.29 = 2,947.74 : x
  2. Step 2: Convert to fraction form
    8,495.34/12,742.29 = 2,947.74/x
  3. Step 3: Cross multiply
    8,495.34x = 12,742.29 × 2,947.74
  4. Step 4: Simplify right side
    8,495.34x = 37,560,957.92
  5. Step 5: Solve for x
    x = 37,560,957.92/8,495.34
  6. Step 6: Final answer
    x = 4,421.36

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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.