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Finding the Fourth Proportional to 6,967.62, 9,612.77 and 4,578.89

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Solution

The fourth proportional to 6,967.62, 9,612.77 and 4,578.89 is: 6,317.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.62 : 9,612.77 = 4,578.89 : x
  2. Step 2: Convert to fraction form
    6,967.62/9,612.77 = 4,578.89/x
  3. Step 3: Cross multiply
    6,967.62x = 9,612.77 × 4,578.89
  4. Step 4: Simplify right side
    6,967.62x = 44,015,745.47
  5. Step 5: Solve for x
    x = 44,015,745.47/6,967.62
  6. Step 6: Final answer
    x = 6,317.19

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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.