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Finding the Fourth Proportional to 8,964.68, 12,364.26 and 6,133.74

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Solution

The fourth proportional to 8,964.68, 12,364.26 and 6,133.74 is: 8,459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.68 : 12,364.26 = 6,133.74 : x
  2. Step 2: Convert to fraction form
    8,964.68/12,364.26 = 6,133.74/x
  3. Step 3: Cross multiply
    8,964.68x = 12,364.26 × 6,133.74
  4. Step 4: Simplify right side
    8,964.68x = 75,839,156.13
  5. Step 5: Solve for x
    x = 75,839,156.13/8,964.68
  6. Step 6: Final answer
    x = 8,459.77

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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.