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Finding the Fourth Proportional to 9,543.71, 14,315.56 and 5,169.71

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Solution

The fourth proportional to 9,543.71, 14,315.56 and 5,169.71 is: 7,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.71 : 14,315.56 = 5,169.71 : x
  2. Step 2: Convert to fraction form
    9,543.71/14,315.56 = 5,169.71/x
  3. Step 3: Cross multiply
    9,543.71x = 14,315.56 × 5,169.71
  4. Step 4: Simplify right side
    9,543.71x = 74,007,196.26
  5. Step 5: Solve for x
    x = 74,007,196.26/9,543.71
  6. Step 6: Final answer
    x = 7,754.56

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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.