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Finding the Fourth Proportional to 7,023.33, 9,691.09 and 4,038.57

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Solution

The fourth proportional to 7,023.33, 9,691.09 and 4,038.57 is: 5,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.33 : 9,691.09 = 4,038.57 : x
  2. Step 2: Convert to fraction form
    7,023.33/9,691.09 = 4,038.57/x
  3. Step 3: Cross multiply
    7,023.33x = 9,691.09 × 4,038.57
  4. Step 4: Simplify right side
    7,023.33x = 39,138,135.24
  5. Step 5: Solve for x
    x = 39,138,135.24/7,023.33
  6. Step 6: Final answer
    x = 5,572.59

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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.