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Finding the Fourth Proportional to 6,675.72, 9,212.85 and 4,023.51

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Solution

The fourth proportional to 6,675.72, 9,212.85 and 4,023.51 is: 5,552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.72 : 9,212.85 = 4,023.51 : x
  2. Step 2: Convert to fraction form
    6,675.72/9,212.85 = 4,023.51/x
  3. Step 3: Cross multiply
    6,675.72x = 9,212.85 × 4,023.51
  4. Step 4: Simplify right side
    6,675.72x = 37,067,994.10
  5. Step 5: Solve for x
    x = 37,067,994.10/6,675.72
  6. Step 6: Final answer
    x = 5,552.66

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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.