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Finding the Fourth Proportional to 8,864.97, 12,233.66 and 4,831.77

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Solution

The fourth proportional to 8,864.97, 12,233.66 and 4,831.77 is: 6,667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864.97 : 12,233.66 = 4,831.77 : x
  2. Step 2: Convert to fraction form
    8,864.97/12,233.66 = 4,831.77/x
  3. Step 3: Cross multiply
    8,864.97x = 12,233.66 × 4,831.77
  4. Step 4: Simplify right side
    8,864.97x = 59,110,231.38
  5. Step 5: Solve for x
    x = 59,110,231.38/8,864.97
  6. Step 6: Final answer
    x = 6,667.84

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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.