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Finding the Fourth Proportional to 9,989.64, 14,982.03 and 4,724.44

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Solution

The fourth proportional to 9,989.64, 14,982.03 and 4,724.44 is: 7,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.64 : 14,982.03 = 4,724.44 : x
  2. Step 2: Convert to fraction form
    9,989.64/14,982.03 = 4,724.44/x
  3. Step 3: Cross multiply
    9,989.64x = 14,982.03 × 4,724.44
  4. Step 4: Simplify right side
    9,989.64x = 70,781,664.36
  5. Step 5: Solve for x
    x = 70,781,664.36/9,989.64
  6. Step 6: Final answer
    x = 7,085.51

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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.