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Finding the Fourth Proportional to 9,020.16, 13,532.07 and 3,826.02

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Solution

The fourth proportional to 9,020.16, 13,532.07 and 3,826.02 is: 5,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020.16 : 13,532.07 = 3,826.02 : x
  2. Step 2: Convert to fraction form
    9,020.16/13,532.07 = 3,826.02/x
  3. Step 3: Cross multiply
    9,020.16x = 13,532.07 × 3,826.02
  4. Step 4: Simplify right side
    9,020.16x = 51,773,970.46
  5. Step 5: Solve for x
    x = 51,773,970.46/9,020.16
  6. Step 6: Final answer
    x = 5,739.81

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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.