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Finding the Fourth Proportional to 9,542.16, 13,161.06 and 9,123.36

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Solution

The fourth proportional to 9,542.16, 13,161.06 and 9,123.36 is: 12,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.16 : 13,161.06 = 9,123.36 : x
  2. Step 2: Convert to fraction form
    9,542.16/13,161.06 = 9,123.36/x
  3. Step 3: Cross multiply
    9,542.16x = 13,161.06 × 9,123.36
  4. Step 4: Simplify right side
    9,542.16x = 120,073,088.36
  5. Step 5: Solve for x
    x = 120,073,088.36/9,542.16
  6. Step 6: Final answer
    x = 12,583.43

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1.5x scale

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.