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Finding the Fourth Proportional to 9,302.48, 12,833.16 and 5,944.40

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Solution

The fourth proportional to 9,302.48, 12,833.16 and 5,944.40 is: 8,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.48 : 12,833.16 = 5,944.40 : x
  2. Step 2: Convert to fraction form
    9,302.48/12,833.16 = 5,944.40/x
  3. Step 3: Cross multiply
    9,302.48x = 12,833.16 × 5,944.40
  4. Step 4: Simplify right side
    9,302.48x = 76,285,436.30
  5. Step 5: Solve for x
    x = 76,285,436.30/9,302.48
  6. Step 6: Final answer
    x = 8,200.55

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Similar ratio
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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.