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Finding the Fourth Proportional to 9,983.68, 13,783.40 and 8,876.60

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Solution

The fourth proportional to 9,983.68, 13,783.40 and 8,876.60 is: 12,254.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.68 : 13,783.40 = 8,876.60 : x
  2. Step 2: Convert to fraction form
    9,983.68/13,783.40 = 8,876.60/x
  3. Step 3: Cross multiply
    9,983.68x = 13,783.40 × 8,876.60
  4. Step 4: Simplify right side
    9,983.68x = 122,349,728.44
  5. Step 5: Solve for x
    x = 122,349,728.44/9,983.68
  6. Step 6: Final answer
    x = 12,254.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.