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Finding the Fourth Proportional to 8,972.78, 12,381.54 and 5,435.78

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Solution

The fourth proportional to 8,972.78, 12,381.54 and 5,435.78 is: 7,500.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.78 : 12,381.54 = 5,435.78 : x
  2. Step 2: Convert to fraction form
    8,972.78/12,381.54 = 5,435.78/x
  3. Step 3: Cross multiply
    8,972.78x = 12,381.54 × 5,435.78
  4. Step 4: Simplify right side
    8,972.78x = 67,303,327.50
  5. Step 5: Solve for x
    x = 67,303,327.50/8,972.78
  6. Step 6: Final answer
    x = 7,500.83

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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.