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Finding the Fourth Proportional to 6,663.92, 9,196.29 and 3,831.35

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Solution

The fourth proportional to 6,663.92, 9,196.29 and 3,831.35 is: 5,287.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.92 : 9,196.29 = 3,831.35 : x
  2. Step 2: Convert to fraction form
    6,663.92/9,196.29 = 3,831.35/x
  3. Step 3: Cross multiply
    6,663.92x = 9,196.29 × 3,831.35
  4. Step 4: Simplify right side
    6,663.92x = 35,234,159.71
  5. Step 5: Solve for x
    x = 35,234,159.71/6,663.92
  6. Step 6: Final answer
    x = 5,287.31

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