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Finding the Fourth Proportional to 5,967.69, 8,969.49 and 4,934.31

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Solution

The fourth proportional to 5,967.69, 8,969.49 and 4,934.31 is: 7,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.69 : 8,969.49 = 4,934.31 : x
  2. Step 2: Convert to fraction form
    5,967.69/8,969.49 = 4,934.31/x
  3. Step 3: Cross multiply
    5,967.69x = 8,969.49 × 4,934.31
  4. Step 4: Simplify right side
    5,967.69x = 44,258,244.20
  5. Step 5: Solve for x
    x = 44,258,244.20/5,967.69
  6. Step 6: Final answer
    x = 7,416.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.