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Finding the Fourth Proportional to 9,334.68, 12,881.85 and 5,142.93

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Solution

The fourth proportional to 9,334.68, 12,881.85 and 5,142.93 is: 7,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.68 : 12,881.85 = 5,142.93 : x
  2. Step 2: Convert to fraction form
    9,334.68/12,881.85 = 5,142.93/x
  3. Step 3: Cross multiply
    9,334.68x = 12,881.85 × 5,142.93
  4. Step 4: Simplify right side
    9,334.68x = 66,250,452.82
  5. Step 5: Solve for x
    x = 66,250,452.82/9,334.68
  6. Step 6: Final answer
    x = 7,097.24

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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.