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Finding the Fourth Proportional to 8,864.51, 12,234.38 and 6,736.58

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Solution

The fourth proportional to 8,864.51, 12,234.38 and 6,736.58 is: 9,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864.51 : 12,234.38 = 6,736.58 : x
  2. Step 2: Convert to fraction form
    8,864.51/12,234.38 = 6,736.58/x
  3. Step 3: Cross multiply
    8,864.51x = 12,234.38 × 6,736.58
  4. Step 4: Simplify right side
    8,864.51x = 82,417,784.77
  5. Step 5: Solve for x
    x = 82,417,784.77/8,864.51
  6. Step 6: Final answer
    x = 9,297.51

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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.