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Finding the Fourth Proportional to 8,964.64, 12,373.68 and 5,239.36

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Solution

The fourth proportional to 8,964.64, 12,373.68 and 5,239.36 is: 7,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.64 : 12,373.68 = 5,239.36 : x
  2. Step 2: Convert to fraction form
    8,964.64/12,373.68 = 5,239.36/x
  3. Step 3: Cross multiply
    8,964.64x = 12,373.68 × 5,239.36
  4. Step 4: Simplify right side
    8,964.64x = 64,830,164.04
  5. Step 5: Solve for x
    x = 64,830,164.04/8,964.64
  6. Step 6: Final answer
    x = 7,231.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.