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Finding the Fourth Proportional to 9,816.18, 13,532.04 and 7,454.22

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Solution

The fourth proportional to 9,816.18, 13,532.04 and 7,454.22 is: 10,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.18 : 13,532.04 = 7,454.22 : x
  2. Step 2: Convert to fraction form
    9,816.18/13,532.04 = 7,454.22/x
  3. Step 3: Cross multiply
    9,816.18x = 13,532.04 × 7,454.22
  4. Step 4: Simplify right side
    9,816.18x = 100,870,803.21
  5. Step 5: Solve for x
    x = 100,870,803.21/9,816.18
  6. Step 6: Final answer
    x = 10,275.97

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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.