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Finding the Fourth Proportional to 9,894.68, 13,640.22 and 7,532.72

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Solution

The fourth proportional to 9,894.68, 13,640.22 and 7,532.72 is: 10,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.68 : 13,640.22 = 7,532.72 : x
  2. Step 2: Convert to fraction form
    9,894.68/13,640.22 = 7,532.72/x
  3. Step 3: Cross multiply
    9,894.68x = 13,640.22 × 7,532.72
  4. Step 4: Simplify right side
    9,894.68x = 102,747,958.00
  5. Step 5: Solve for x
    x = 102,747,958.00/9,894.68
  6. Step 6: Final answer
    x = 10,384.16

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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.