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Finding the Fourth Proportional to 9,321.96, 12,862.44 and 5,344.32

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Solution

The fourth proportional to 9,321.96, 12,862.44 and 5,344.32 is: 7,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.96 : 12,862.44 = 5,344.32 : x
  2. Step 2: Convert to fraction form
    9,321.96/12,862.44 = 5,344.32/x
  3. Step 3: Cross multiply
    9,321.96x = 12,862.44 × 5,344.32
  4. Step 4: Simplify right side
    9,321.96x = 68,740,995.34
  5. Step 5: Solve for x
    x = 68,740,995.34/9,321.96
  6. Step 6: Final answer
    x = 7,374.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.