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Finding the Fourth Proportional to 9,097.18, 13,632.10 and 5,144.18

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Solution

The fourth proportional to 9,097.18, 13,632.10 and 5,144.18 is: 7,708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.18 : 13,632.10 = 5,144.18 : x
  2. Step 2: Convert to fraction form
    9,097.18/13,632.10 = 5,144.18/x
  3. Step 3: Cross multiply
    9,097.18x = 13,632.10 × 5,144.18
  4. Step 4: Simplify right side
    9,097.18x = 70,125,976.18
  5. Step 5: Solve for x
    x = 70,125,976.18/9,097.18
  6. Step 6: Final answer
    x = 7,708.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.