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Finding the Fourth Proportional to 6,579.60, 9,877.14 and 5,193.90

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Solution

The fourth proportional to 6,579.60, 9,877.14 and 5,193.90 is: 7,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.60 : 9,877.14 = 5,193.90 : x
  2. Step 2: Convert to fraction form
    6,579.60/9,877.14 = 5,193.90/x
  3. Step 3: Cross multiply
    6,579.60x = 9,877.14 × 5,193.90
  4. Step 4: Simplify right side
    6,579.60x = 51,300,877.45
  5. Step 5: Solve for x
    x = 51,300,877.45/6,579.60
  6. Step 6: Final answer
    x = 7,796.96

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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.