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Finding the Fourth Proportional to 9,983.16, 14,983.94 and 5,056.23

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Solution

The fourth proportional to 9,983.16, 14,983.94 and 5,056.23 is: 7,589.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.16 : 14,983.94 = 5,056.23 : x
  2. Step 2: Convert to fraction form
    9,983.16/14,983.94 = 5,056.23/x
  3. Step 3: Cross multiply
    9,983.16x = 14,983.94 × 5,056.23
  4. Step 4: Simplify right side
    9,983.16x = 75,762,221.67
  5. Step 5: Solve for x
    x = 75,762,221.67/9,983.16
  6. Step 6: Final answer
    x = 7,589.00

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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.