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Finding the Fourth Proportional to 9,252.56, 12,768.72 and 5,061.08

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Solution

The fourth proportional to 9,252.56, 12,768.72 and 5,061.08 is: 6,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.56 : 12,768.72 = 5,061.08 : x
  2. Step 2: Convert to fraction form
    9,252.56/12,768.72 = 5,061.08/x
  3. Step 3: Cross multiply
    9,252.56x = 12,768.72 × 5,061.08
  4. Step 4: Simplify right side
    9,252.56x = 64,623,513.42
  5. Step 5: Solve for x
    x = 64,623,513.42/9,252.56
  6. Step 6: Final answer
    x = 6,984.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.