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Finding the Fourth Proportional to 7,001.13, 9,661.62 and 3,814.45

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Solution

The fourth proportional to 7,001.13, 9,661.62 and 3,814.45 is: 5,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.13 : 9,661.62 = 3,814.45 : x
  2. Step 2: Convert to fraction form
    7,001.13/9,661.62 = 3,814.45/x
  3. Step 3: Cross multiply
    7,001.13x = 9,661.62 × 3,814.45
  4. Step 4: Simplify right side
    7,001.13x = 36,853,766.41
  5. Step 5: Solve for x
    x = 36,853,766.41/7,001.13
  6. Step 6: Final answer
    x = 5,263.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.