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Finding the Fourth Proportional to 9,877.43, 13,622.72 and 7,043.90

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Solution

The fourth proportional to 9,877.43, 13,622.72 and 7,043.90 is: 9,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.43 : 13,622.72 = 7,043.90 : x
  2. Step 2: Convert to fraction form
    9,877.43/13,622.72 = 7,043.90/x
  3. Step 3: Cross multiply
    9,877.43x = 13,622.72 × 7,043.90
  4. Step 4: Simplify right side
    9,877.43x = 95,957,077.41
  5. Step 5: Solve for x
    x = 95,957,077.41/9,877.43
  6. Step 6: Final answer
    x = 9,714.78

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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.