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Finding the Fourth Proportional to 8,972.63, 12,380.90 and 5,386.83

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Solution

The fourth proportional to 8,972.63, 12,380.90 and 5,386.83 is: 7,433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.63 : 12,380.90 = 5,386.83 : x
  2. Step 2: Convert to fraction form
    8,972.63/12,380.90 = 5,386.83/x
  3. Step 3: Cross multiply
    8,972.63x = 12,380.90 × 5,386.83
  4. Step 4: Simplify right side
    8,972.63x = 66,693,803.55
  5. Step 5: Solve for x
    x = 66,693,803.55/8,972.63
  6. Step 6: Final answer
    x = 7,433.03

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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.