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Finding the Fourth Proportional to 8,140.32, 12,209.40 and 2,297.40

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Solution

The fourth proportional to 8,140.32, 12,209.40 and 2,297.40 is: 3,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.32 : 12,209.40 = 2,297.40 : x
  2. Step 2: Convert to fraction form
    8,140.32/12,209.40 = 2,297.40/x
  3. Step 3: Cross multiply
    8,140.32x = 12,209.40 × 2,297.40
  4. Step 4: Simplify right side
    8,140.32x = 28,049,875.56
  5. Step 5: Solve for x
    x = 28,049,875.56/8,140.32
  6. Step 6: Final answer
    x = 3,445.80

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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.