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Finding the Fourth Proportional to 9,676.20, 13,356.18 and 6,139.20

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Solution

The fourth proportional to 9,676.20, 13,356.18 and 6,139.20 is: 8,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.20 : 13,356.18 = 6,139.20 : x
  2. Step 2: Convert to fraction form
    9,676.20/13,356.18 = 6,139.20/x
  3. Step 3: Cross multiply
    9,676.20x = 13,356.18 × 6,139.20
  4. Step 4: Simplify right side
    9,676.20x = 81,996,260.26
  5. Step 5: Solve for x
    x = 81,996,260.26/9,676.20
  6. Step 6: Final answer
    x = 8,474.01

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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.