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Finding the Fourth Proportional to 9,780.53, 14,670.79 and 9,397.80

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Solution

The fourth proportional to 9,780.53, 14,670.79 and 9,397.80 is: 14,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.53 : 14,670.79 = 9,397.80 : x
  2. Step 2: Convert to fraction form
    9,780.53/14,670.79 = 9,397.80/x
  3. Step 3: Cross multiply
    9,780.53x = 14,670.79 × 9,397.80
  4. Step 4: Simplify right side
    9,780.53x = 137,873,126.77
  5. Step 5: Solve for x
    x = 137,873,126.77/9,780.53
  6. Step 6: Final answer
    x = 14,096.70

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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.