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Finding the Fourth Proportional to 9,020.12, 13,535.04 and 6,828.32

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Solution

The fourth proportional to 9,020.12, 13,535.04 and 6,828.32 is: 10,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020.12 : 13,535.04 = 6,828.32 : x
  2. Step 2: Convert to fraction form
    9,020.12/13,535.04 = 6,828.32/x
  3. Step 3: Cross multiply
    9,020.12x = 13,535.04 × 6,828.32
  4. Step 4: Simplify right side
    9,020.12x = 92,421,584.33
  5. Step 5: Solve for x
    x = 92,421,584.33/9,020.12
  6. Step 6: Final answer
    x = 10,246.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.