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Finding the Fourth Proportional to 9,225.76, 12,727.92 and 5,867.68

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Solution

The fourth proportional to 9,225.76, 12,727.92 and 5,867.68 is: 8,095.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.76 : 12,727.92 = 5,867.68 : x
  2. Step 2: Convert to fraction form
    9,225.76/12,727.92 = 5,867.68/x
  3. Step 3: Cross multiply
    9,225.76x = 12,727.92 × 5,867.68
  4. Step 4: Simplify right side
    9,225.76x = 74,683,361.63
  5. Step 5: Solve for x
    x = 74,683,361.63/9,225.76
  6. Step 6: Final answer
    x = 8,095.09

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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.