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Finding the Fourth Proportional to 8,969.92, 12,378.71 and 4,991.42

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Solution

The fourth proportional to 8,969.92, 12,378.71 and 4,991.42 is: 6,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.92 : 12,378.71 = 4,991.42 : x
  2. Step 2: Convert to fraction form
    8,969.92/12,378.71 = 4,991.42/x
  3. Step 3: Cross multiply
    8,969.92x = 12,378.71 × 4,991.42
  4. Step 4: Simplify right side
    8,969.92x = 61,787,315.71
  5. Step 5: Solve for x
    x = 61,787,315.71/8,969.92
  6. Step 6: Final answer
    x = 6,888.28

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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.