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Finding the Fourth Proportional to 9,264.98, 12,784.53 and 5,906.42

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Solution

The fourth proportional to 9,264.98, 12,784.53 and 5,906.42 is: 8,150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.98 : 12,784.53 = 5,906.42 : x
  2. Step 2: Convert to fraction form
    9,264.98/12,784.53 = 5,906.42/x
  3. Step 3: Cross multiply
    9,264.98x = 12,784.53 × 5,906.42
  4. Step 4: Simplify right side
    9,264.98x = 75,510,809.85
  5. Step 5: Solve for x
    x = 75,510,809.85/9,264.98
  6. Step 6: Final answer
    x = 8,150.13

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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.