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Finding the Fourth Proportional to 9,657.20, 13,325.18 and 5,679.10

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Solution

The fourth proportional to 9,657.20, 13,325.18 and 5,679.10 is: 7,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.20 : 13,325.18 = 5,679.10 : x
  2. Step 2: Convert to fraction form
    9,657.20/13,325.18 = 5,679.10/x
  3. Step 3: Cross multiply
    9,657.20x = 13,325.18 × 5,679.10
  4. Step 4: Simplify right side
    9,657.20x = 75,675,029.74
  5. Step 5: Solve for x
    x = 75,675,029.74/9,657.20
  6. Step 6: Final answer
    x = 7,836.13

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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.