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Finding the Fourth Proportional to 9,701.92, 14,552.88 and 4,773.88

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Solution

The fourth proportional to 9,701.92, 14,552.88 and 4,773.88 is: 7,160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.92 : 14,552.88 = 4,773.88 : x
  2. Step 2: Convert to fraction form
    9,701.92/14,552.88 = 4,773.88/x
  3. Step 3: Cross multiply
    9,701.92x = 14,552.88 × 4,773.88
  4. Step 4: Simplify right side
    9,701.92x = 69,473,702.77
  5. Step 5: Solve for x
    x = 69,473,702.77/9,701.92
  6. Step 6: Final answer
    x = 7,160.82

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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.