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Finding the Fourth Proportional to 6,693.69, 9,237.11 and 4,040.13

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Solution

The fourth proportional to 6,693.69, 9,237.11 and 4,040.13 is: 5,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693.69 : 9,237.11 = 4,040.13 : x
  2. Step 2: Convert to fraction form
    6,693.69/9,237.11 = 4,040.13/x
  3. Step 3: Cross multiply
    6,693.69x = 9,237.11 × 4,040.13
  4. Step 4: Simplify right side
    6,693.69x = 37,319,105.02
  5. Step 5: Solve for x
    x = 37,319,105.02/6,693.69
  6. Step 6: Final answer
    x = 5,575.27

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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.