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Finding the Fourth Proportional to 9,502.74, 14,257.18 and 4,571.72

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Solution

The fourth proportional to 9,502.74, 14,257.18 and 4,571.72 is: 6,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.74 : 14,257.18 = 4,571.72 : x
  2. Step 2: Convert to fraction form
    9,502.74/14,257.18 = 4,571.72/x
  3. Step 3: Cross multiply
    9,502.74x = 14,257.18 × 4,571.72
  4. Step 4: Simplify right side
    9,502.74x = 65,179,834.95
  5. Step 5: Solve for x
    x = 65,179,834.95/9,502.74
  6. Step 6: Final answer
    x = 6,859.06

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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.