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Finding the Fourth Proportional to 6,877.40, 9,488.62 and 4,043.86

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Solution

The fourth proportional to 6,877.40, 9,488.62 and 4,043.86 is: 5,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.40 : 9,488.62 = 4,043.86 : x
  2. Step 2: Convert to fraction form
    6,877.40/9,488.62 = 4,043.86/x
  3. Step 3: Cross multiply
    6,877.40x = 9,488.62 × 4,043.86
  4. Step 4: Simplify right side
    6,877.40x = 38,370,650.87
  5. Step 5: Solve for x
    x = 38,370,650.87/6,877.40
  6. Step 6: Final answer
    x = 5,579.24

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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.