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Finding the Fourth Proportional to 9,321.84, 13,980.96 and 2,746.44

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Solution

The fourth proportional to 9,321.84, 13,980.96 and 2,746.44 is: 4,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.84 : 13,980.96 = 2,746.44 : x
  2. Step 2: Convert to fraction form
    9,321.84/13,980.96 = 2,746.44/x
  3. Step 3: Cross multiply
    9,321.84x = 13,980.96 × 2,746.44
  4. Step 4: Simplify right side
    9,321.84x = 38,397,867.78
  5. Step 5: Solve for x
    x = 38,397,867.78/9,321.84
  6. Step 6: Final answer
    x = 4,119.13

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Similar ratio
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1.5x scale

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.