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Finding the Fourth Proportional to 9,657.40, 13,330.50 and 5,679.70

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Solution

The fourth proportional to 9,657.40, 13,330.50 and 5,679.70 is: 7,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.40 : 13,330.50 = 5,679.70 : x
  2. Step 2: Convert to fraction form
    9,657.40/13,330.50 = 5,679.70/x
  3. Step 3: Cross multiply
    9,657.40x = 13,330.50 × 5,679.70
  4. Step 4: Simplify right side
    9,657.40x = 75,713,240.85
  5. Step 5: Solve for x
    x = 75,713,240.85/9,657.40
  6. Step 6: Final answer
    x = 7,839.92

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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.