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Finding the Fourth Proportional to 9,146.42, 12,623.08 and 5,167.78

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Solution

The fourth proportional to 9,146.42, 12,623.08 and 5,167.78 is: 7,132.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.42 : 12,623.08 = 5,167.78 : x
  2. Step 2: Convert to fraction form
    9,146.42/12,623.08 = 5,167.78/x
  3. Step 3: Cross multiply
    9,146.42x = 12,623.08 × 5,167.78
  4. Step 4: Simplify right side
    9,146.42x = 65,233,300.36
  5. Step 5: Solve for x
    x = 65,233,300.36/9,146.42
  6. Step 6: Final answer
    x = 7,132.11

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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.