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Finding the Fourth Proportional to 9,271.82, 12,795.02 and 5,022.78

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Solution

The fourth proportional to 9,271.82, 12,795.02 and 5,022.78 is: 6,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.82 : 12,795.02 = 5,022.78 : x
  2. Step 2: Convert to fraction form
    9,271.82/12,795.02 = 5,022.78/x
  3. Step 3: Cross multiply
    9,271.82x = 12,795.02 × 5,022.78
  4. Step 4: Simplify right side
    9,271.82x = 64,266,570.56
  5. Step 5: Solve for x
    x = 64,266,570.56/9,271.82
  6. Step 6: Final answer
    x = 6,931.39

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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.