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Finding the Fourth Proportional to 8,946.48, 12,346.91 and 5,169.81

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Solution

The fourth proportional to 8,946.48, 12,346.91 and 5,169.81 is: 7,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.48 : 12,346.91 = 5,169.81 : x
  2. Step 2: Convert to fraction form
    8,946.48/12,346.91 = 5,169.81/x
  3. Step 3: Cross multiply
    8,946.48x = 12,346.91 × 5,169.81
  4. Step 4: Simplify right side
    8,946.48x = 63,831,178.79
  5. Step 5: Solve for x
    x = 63,831,178.79/8,946.48
  6. Step 6: Final answer
    x = 7,134.78

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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.