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Finding the Fourth Proportional to 8,946.90, 13,424.31 and 3,107.70

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Solution

The fourth proportional to 8,946.90, 13,424.31 and 3,107.70 is: 4,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.90 : 13,424.31 = 3,107.70 : x
  2. Step 2: Convert to fraction form
    8,946.90/13,424.31 = 3,107.70/x
  3. Step 3: Cross multiply
    8,946.90x = 13,424.31 × 3,107.70
  4. Step 4: Simplify right side
    8,946.90x = 41,718,728.19
  5. Step 5: Solve for x
    x = 41,718,728.19/8,946.90
  6. Step 6: Final answer
    x = 4,662.93

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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.