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Finding the Fourth Proportional to 9,691.04, 14,543.80 and 3,768.86

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Solution

The fourth proportional to 9,691.04, 14,543.80 and 3,768.86 is: 5,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.04 : 14,543.80 = 3,768.86 : x
  2. Step 2: Convert to fraction form
    9,691.04/14,543.80 = 3,768.86/x
  3. Step 3: Cross multiply
    9,691.04x = 14,543.80 × 3,768.86
  4. Step 4: Simplify right side
    9,691.04x = 54,813,546.07
  5. Step 5: Solve for x
    x = 54,813,546.07/9,691.04
  6. Step 6: Final answer
    x = 5,656.11

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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.