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Finding the Fourth Proportional to 9,581.67, 13,222.49 and 5,332.56

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Solution

The fourth proportional to 9,581.67, 13,222.49 and 5,332.56 is: 7,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.67 : 13,222.49 = 5,332.56 : x
  2. Step 2: Convert to fraction form
    9,581.67/13,222.49 = 5,332.56/x
  3. Step 3: Cross multiply
    9,581.67x = 13,222.49 × 5,332.56
  4. Step 4: Simplify right side
    9,581.67x = 70,509,694.61
  5. Step 5: Solve for x
    x = 70,509,694.61/9,581.67
  6. Step 6: Final answer
    x = 7,358.81

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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.