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Finding the Fourth Proportional to 9,435.80, 13,022.12 and 5,659.10

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Solution

The fourth proportional to 9,435.80, 13,022.12 and 5,659.10 is: 7,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.80 : 13,022.12 = 5,659.10 : x
  2. Step 2: Convert to fraction form
    9,435.80/13,022.12 = 5,659.10/x
  3. Step 3: Cross multiply
    9,435.80x = 13,022.12 × 5,659.10
  4. Step 4: Simplify right side
    9,435.80x = 73,693,479.29
  5. Step 5: Solve for x
    x = 73,693,479.29/9,435.80
  6. Step 6: Final answer
    x = 7,809.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.