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Finding the Fourth Proportional to 9,269.64, 13,887.03 and 4,584.21

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Solution

The fourth proportional to 9,269.64, 13,887.03 and 4,584.21 is: 6,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.64 : 13,887.03 = 4,584.21 : x
  2. Step 2: Convert to fraction form
    9,269.64/13,887.03 = 4,584.21/x
  3. Step 3: Cross multiply
    9,269.64x = 13,887.03 × 4,584.21
  4. Step 4: Simplify right side
    9,269.64x = 63,661,061.80
  5. Step 5: Solve for x
    x = 63,661,061.80/9,269.64
  6. Step 6: Final answer
    x = 6,867.70

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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.