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Finding the Fourth Proportional to 6,975.84, 9,626.40 and 3,831.84

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Solution

The fourth proportional to 6,975.84, 9,626.40 and 3,831.84 is: 5,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.84 : 9,626.40 = 3,831.84 : x
  2. Step 2: Convert to fraction form
    6,975.84/9,626.40 = 3,831.84/x
  3. Step 3: Cross multiply
    6,975.84x = 9,626.40 × 3,831.84
  4. Step 4: Simplify right side
    6,975.84x = 36,886,824.58
  5. Step 5: Solve for x
    x = 36,886,824.58/6,975.84
  6. Step 6: Final answer
    x = 5,287.80

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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.