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Finding the Fourth Proportional to 8,209.72, 12,312.02 and 2,364.76

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Solution

The fourth proportional to 8,209.72, 12,312.02 and 2,364.76 is: 3,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.72 : 12,312.02 = 2,364.76 : x
  2. Step 2: Convert to fraction form
    8,209.72/12,312.02 = 2,364.76/x
  3. Step 3: Cross multiply
    8,209.72x = 12,312.02 × 2,364.76
  4. Step 4: Simplify right side
    8,209.72x = 29,114,972.42
  5. Step 5: Solve for x
    x = 29,114,972.42/8,209.72
  6. Step 6: Final answer
    x = 3,546.40

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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.