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Finding the Fourth Proportional to 9,694.40, 13,378.08 and 5,715.68

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Solution

The fourth proportional to 9,694.40, 13,378.08 and 5,715.68 is: 7,887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.40 : 13,378.08 = 5,715.68 : x
  2. Step 2: Convert to fraction form
    9,694.40/13,378.08 = 5,715.68/x
  3. Step 3: Cross multiply
    9,694.40x = 13,378.08 × 5,715.68
  4. Step 4: Simplify right side
    9,694.40x = 76,464,824.29
  5. Step 5: Solve for x
    x = 76,464,824.29/9,694.40
  6. Step 6: Final answer
    x = 7,887.53

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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.