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Finding the Fourth Proportional to 8,964.02, 13,446 and 2,724.00

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Solution

The fourth proportional to 8,964.02, 13,446 and 2,724.00 is: 4,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.02 : 13,446 = 2,724.00 : x
  2. Step 2: Convert to fraction form
    8,964.02/13,446 = 2,724.00/x
  3. Step 3: Cross multiply
    8,964.02x = 13,446 × 2,724.00
  4. Step 4: Simplify right side
    8,964.02x = 36,626,853.58
  5. Step 5: Solve for x
    x = 36,626,853.58/8,964.02
  6. Step 6: Final answer
    x = 4,085.99

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Why These Related Problems?

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