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Finding the Fourth Proportional to 9,584.19, 14,359.01 and 8,022.51

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Solution

The fourth proportional to 9,584.19, 14,359.01 and 8,022.51 is: 12,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.19 : 14,359.01 = 8,022.51 : x
  2. Step 2: Convert to fraction form
    9,584.19/14,359.01 = 8,022.51/x
  3. Step 3: Cross multiply
    9,584.19x = 14,359.01 × 8,022.51
  4. Step 4: Simplify right side
    9,584.19x = 115,195,261.20
  5. Step 5: Solve for x
    x = 115,195,261.20/9,584.19
  6. Step 6: Final answer
    x = 12,019.30

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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.