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Finding the Fourth Proportional to 9,074.57, 13,617.21 and 4,914.47

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Solution

The fourth proportional to 9,074.57, 13,617.21 and 4,914.47 is: 7,374.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.57 : 13,617.21 = 4,914.47 : x
  2. Step 2: Convert to fraction form
    9,074.57/13,617.21 = 4,914.47/x
  3. Step 3: Cross multiply
    9,074.57x = 13,617.21 × 4,914.47
  4. Step 4: Simplify right side
    9,074.57x = 66,921,422.50
  5. Step 5: Solve for x
    x = 66,921,422.50/9,074.57
  6. Step 6: Final answer
    x = 7,374.61

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Why These Related Problems?

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