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Finding the Fourth Proportional to 6,524.26, 9,001.02 and 4,287.36

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Solution

The fourth proportional to 6,524.26, 9,001.02 and 4,287.36 is: 5,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.26 : 9,001.02 = 4,287.36 : x
  2. Step 2: Convert to fraction form
    6,524.26/9,001.02 = 4,287.36/x
  3. Step 3: Cross multiply
    6,524.26x = 9,001.02 × 4,287.36
  4. Step 4: Simplify right side
    6,524.26x = 38,590,613.11
  5. Step 5: Solve for x
    x = 38,590,613.11/6,524.26
  6. Step 6: Final answer
    x = 5,914.94

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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.