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Finding the Fourth Proportional to 9,724.64, 14,589.24 and 3,485

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Solution

The fourth proportional to 9,724.64, 14,589.24 and 3,485 is: 5,228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.64 : 14,589.24 = 3,485 : x
  2. Step 2: Convert to fraction form
    9,724.64/14,589.24 = 3,485/x
  3. Step 3: Cross multiply
    9,724.64x = 14,589.24 × 3,485
  4. Step 4: Simplify right side
    9,724.64x = 50,843,501.40
  5. Step 5: Solve for x
    x = 50,843,501.40/9,724.64
  6. Step 6: Final answer
    x = 5,228.32

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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.