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Finding the Fourth Proportional to 7,023.78, 9,693.30 and 4,040.36

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Solution

The fourth proportional to 7,023.78, 9,693.30 and 4,040.36 is: 5,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.78 : 9,693.30 = 4,040.36 : x
  2. Step 2: Convert to fraction form
    7,023.78/9,693.30 = 4,040.36/x
  3. Step 3: Cross multiply
    7,023.78x = 9,693.30 × 4,040.36
  4. Step 4: Simplify right side
    7,023.78x = 39,164,421.59
  5. Step 5: Solve for x
    x = 39,164,421.59/7,023.78
  6. Step 6: Final answer
    x = 5,575.97

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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.