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Finding the Fourth Proportional to 9,294.16, 13,941.24 and 7,647.24

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Solution

The fourth proportional to 9,294.16, 13,941.24 and 7,647.24 is: 11,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.16 : 13,941.24 = 7,647.24 : x
  2. Step 2: Convert to fraction form
    9,294.16/13,941.24 = 7,647.24/x
  3. Step 3: Cross multiply
    9,294.16x = 13,941.24 × 7,647.24
  4. Step 4: Simplify right side
    9,294.16x = 106,612,046.34
  5. Step 5: Solve for x
    x = 106,612,046.34/9,294.16
  6. Step 6: Final answer
    x = 11,470.87

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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.