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Finding the Fourth Proportional to 9,729.87, 14,502.24 and 9,176.22

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Solution

The fourth proportional to 9,729.87, 14,502.24 and 9,176.22 is: 13,677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.87 : 14,502.24 = 9,176.22 : x
  2. Step 2: Convert to fraction form
    9,729.87/14,502.24 = 9,176.22/x
  3. Step 3: Cross multiply
    9,729.87x = 14,502.24 × 9,176.22
  4. Step 4: Simplify right side
    9,729.87x = 133,075,744.73
  5. Step 5: Solve for x
    x = 133,075,744.73/9,729.87
  6. Step 6: Final answer
    x = 13,677.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.