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Finding the Fourth Proportional to 9,983.88, 13,783.15 and 6,005.88

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Solution

The fourth proportional to 9,983.88, 13,783.15 and 6,005.88 is: 8,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.88 : 13,783.15 = 6,005.88 : x
  2. Step 2: Convert to fraction form
    9,983.88/13,783.15 = 6,005.88/x
  3. Step 3: Cross multiply
    9,983.88x = 13,783.15 × 6,005.88
  4. Step 4: Simplify right side
    9,983.88x = 82,779,944.92
  5. Step 5: Solve for x
    x = 82,779,944.92/9,983.88
  6. Step 6: Final answer
    x = 8,291.36

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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.