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Finding the Fourth Proportional to 9,831.85, 13,564.13 and 6,476.31

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Solution

The fourth proportional to 9,831.85, 13,564.13 and 6,476.31 is: 8,934.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.85 : 13,564.13 = 6,476.31 : x
  2. Step 2: Convert to fraction form
    9,831.85/13,564.13 = 6,476.31/x
  3. Step 3: Cross multiply
    9,831.85x = 13,564.13 × 6,476.31
  4. Step 4: Simplify right side
    9,831.85x = 87,845,478.38
  5. Step 5: Solve for x
    x = 87,845,478.38/9,831.85
  6. Step 6: Final answer
    x = 8,934.79

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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.