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Finding the Fourth Proportional to 9,591.40, 13,220.58 and 6,938.92

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Solution

The fourth proportional to 9,591.40, 13,220.58 and 6,938.92 is: 9,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.40 : 13,220.58 = 6,938.92 : x
  2. Step 2: Convert to fraction form
    9,591.40/13,220.58 = 6,938.92/x
  3. Step 3: Cross multiply
    9,591.40x = 13,220.58 × 6,938.92
  4. Step 4: Simplify right side
    9,591.40x = 91,736,546.97
  5. Step 5: Solve for x
    x = 91,736,546.97/9,591.40
  6. Step 6: Final answer
    x = 9,564.46

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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.