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Finding the Fourth Proportional to 9,334.68, 12,881.52 and 5,142.84

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Solution

The fourth proportional to 9,334.68, 12,881.52 and 5,142.84 is: 7,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.68 : 12,881.52 = 5,142.84 : x
  2. Step 2: Convert to fraction form
    9,334.68/12,881.52 = 5,142.84/x
  3. Step 3: Cross multiply
    9,334.68x = 12,881.52 × 5,142.84
  4. Step 4: Simplify right side
    9,334.68x = 66,247,596.32
  5. Step 5: Solve for x
    x = 66,247,596.32/9,334.68
  6. Step 6: Final answer
    x = 7,096.93

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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.