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Finding the Fourth Proportional to 9,231.55, 13,847.33 and 7,313.47

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Solution

The fourth proportional to 9,231.55, 13,847.33 and 7,313.47 is: 10,970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.55 : 13,847.33 = 7,313.47 : x
  2. Step 2: Convert to fraction form
    9,231.55/13,847.33 = 7,313.47/x
  3. Step 3: Cross multiply
    9,231.55x = 13,847.33 × 7,313.47
  4. Step 4: Simplify right side
    9,231.55x = 101,272,058.01
  5. Step 5: Solve for x
    x = 101,272,058.01/9,231.55
  6. Step 6: Final answer
    x = 10,970.21

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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.