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Finding the Fourth Proportional to 9,270.63, 13,871.05 and 6,502.71

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Solution

The fourth proportional to 9,270.63, 13,871.05 and 6,502.71 is: 9,729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.63 : 13,871.05 = 6,502.71 : x
  2. Step 2: Convert to fraction form
    9,270.63/13,871.05 = 6,502.71/x
  3. Step 3: Cross multiply
    9,270.63x = 13,871.05 × 6,502.71
  4. Step 4: Simplify right side
    9,270.63x = 90,199,415.55
  5. Step 5: Solve for x
    x = 90,199,415.55/9,270.63
  6. Step 6: Final answer
    x = 9,729.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.