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Finding the Fourth Proportional to 9,047.78, 12,486.06 and 5,902.16

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Solution

The fourth proportional to 9,047.78, 12,486.06 and 5,902.16 is: 8,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.78 : 12,486.06 = 5,902.16 : x
  2. Step 2: Convert to fraction form
    9,047.78/12,486.06 = 5,902.16/x
  3. Step 3: Cross multiply
    9,047.78x = 12,486.06 × 5,902.16
  4. Step 4: Simplify right side
    9,047.78x = 73,694,723.89
  5. Step 5: Solve for x
    x = 73,694,723.89/9,047.78
  6. Step 6: Final answer
    x = 8,145.06

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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.