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Finding the Fourth Proportional to 9,422.68, 14,122.68 and 3,868.51

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Solution

The fourth proportional to 9,422.68, 14,122.68 and 3,868.51 is: 5,798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.68 : 14,122.68 = 3,868.51 : x
  2. Step 2: Convert to fraction form
    9,422.68/14,122.68 = 3,868.51/x
  3. Step 3: Cross multiply
    9,422.68x = 14,122.68 × 3,868.51
  4. Step 4: Simplify right side
    9,422.68x = 54,633,728.81
  5. Step 5: Solve for x
    x = 54,633,728.81/9,422.68
  6. Step 6: Final answer
    x = 5,798.11

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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.