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Finding the Fourth Proportional to 9,315.84, 13,959.36 and 5,850.24

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Solution

The fourth proportional to 9,315.84, 13,959.36 and 5,850.24 is: 8,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.84 : 13,959.36 = 5,850.24 : x
  2. Step 2: Convert to fraction form
    9,315.84/13,959.36 = 5,850.24/x
  3. Step 3: Cross multiply
    9,315.84x = 13,959.36 × 5,850.24
  4. Step 4: Simplify right side
    9,315.84x = 81,665,606.25
  5. Step 5: Solve for x
    x = 81,665,606.25/9,315.84
  6. Step 6: Final answer
    x = 8,766.32

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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.