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Finding the Fourth Proportional to 9,724.88, 14,563.93 and 5,552.24

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Solution

The fourth proportional to 9,724.88, 14,563.93 and 5,552.24 is: 8,315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.88 : 14,563.93 = 5,552.24 : x
  2. Step 2: Convert to fraction form
    9,724.88/14,563.93 = 5,552.24/x
  3. Step 3: Cross multiply
    9,724.88x = 14,563.93 × 5,552.24
  4. Step 4: Simplify right side
    9,724.88x = 80,862,449.61
  5. Step 5: Solve for x
    x = 80,862,449.61/9,724.88
  6. Step 6: Final answer
    x = 8,315.01

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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.