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Finding the Fourth Proportional to 6,675.69, 9,213.57 and 4,023.35

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Solution

The fourth proportional to 6,675.69, 9,213.57 and 4,023.35 is: 5,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.69 : 9,213.57 = 4,023.35 : x
  2. Step 2: Convert to fraction form
    6,675.69/9,213.57 = 4,023.35/x
  3. Step 3: Cross multiply
    6,675.69x = 9,213.57 × 4,023.35
  4. Step 4: Simplify right side
    6,675.69x = 37,069,370.79
  5. Step 5: Solve for x
    x = 37,069,370.79/6,675.69
  6. Step 6: Final answer
    x = 5,552.89

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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.