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Finding the Fourth Proportional to 9,983.88, 13,780.98 and 6,444.36

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Solution

The fourth proportional to 9,983.88, 13,780.98 and 6,444.36 is: 8,895.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.88 : 13,780.98 = 6,444.36 : x
  2. Step 2: Convert to fraction form
    9,983.88/13,780.98 = 6,444.36/x
  3. Step 3: Cross multiply
    9,983.88x = 13,780.98 × 6,444.36
  4. Step 4: Simplify right side
    9,983.88x = 88,809,596.27
  5. Step 5: Solve for x
    x = 88,809,596.27/9,983.88
  6. Step 6: Final answer
    x = 8,895.30

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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.