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Finding the Fourth Proportional to 9,117.62, 13,674.91 and 2,544.47

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Solution

The fourth proportional to 9,117.62, 13,674.91 and 2,544.47 is: 3,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.62 : 13,674.91 = 2,544.47 : x
  2. Step 2: Convert to fraction form
    9,117.62/13,674.91 = 2,544.47/x
  3. Step 3: Cross multiply
    9,117.62x = 13,674.91 × 2,544.47
  4. Step 4: Simplify right side
    9,117.62x = 34,795,398.25
  5. Step 5: Solve for x
    x = 34,795,398.25/9,117.62
  6. Step 6: Final answer
    x = 3,816.28

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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.