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Finding the Fourth Proportional to 9,974.64, 14,962.60 and 5,862

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Solution

The fourth proportional to 9,974.64, 14,962.60 and 5,862 is: 8,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.64 : 14,962.60 = 5,862 : x
  2. Step 2: Convert to fraction form
    9,974.64/14,962.60 = 5,862/x
  3. Step 3: Cross multiply
    9,974.64x = 14,962.60 × 5,862
  4. Step 4: Simplify right side
    9,974.64x = 87,710,761.20
  5. Step 5: Solve for x
    x = 87,710,761.20/9,974.64
  6. Step 6: Final answer
    x = 8,793.38

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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.