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Finding the Fourth Proportional to 9,594.99, 13,238.46 and 5,617.08

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Solution

The fourth proportional to 9,594.99, 13,238.46 and 5,617.08 is: 7,750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.99 : 13,238.46 = 5,617.08 : x
  2. Step 2: Convert to fraction form
    9,594.99/13,238.46 = 5,617.08/x
  3. Step 3: Cross multiply
    9,594.99x = 13,238.46 × 5,617.08
  4. Step 4: Simplify right side
    9,594.99x = 74,361,488.90
  5. Step 5: Solve for x
    x = 74,361,488.90/9,594.99
  6. Step 6: Final answer
    x = 7,750.03

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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.