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Finding the Fourth Proportional to 9,184, 13,778.88 and 3,990.64

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Solution

The fourth proportional to 9,184, 13,778.88 and 3,990.64 is: 5,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184 : 13,778.88 = 3,990.64 : x
  2. Step 2: Convert to fraction form
    9,184/13,778.88 = 3,990.64/x
  3. Step 3: Cross multiply
    9,184x = 13,778.88 × 3,990.64
  4. Step 4: Simplify right side
    9,184x = 54,986,549.68
  5. Step 5: Solve for x
    x = 54,986,549.68/9,184
  6. Step 6: Final answer
    x = 5,987.21

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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.