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Finding the Fourth Proportional to 9,983.95, 13,777.35 and 6,004.30

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Solution

The fourth proportional to 9,983.95, 13,777.35 and 6,004.30 is: 8,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.95 : 13,777.35 = 6,004.30 : x
  2. Step 2: Convert to fraction form
    9,983.95/13,777.35 = 6,004.30/x
  3. Step 3: Cross multiply
    9,983.95x = 13,777.35 × 6,004.30
  4. Step 4: Simplify right side
    9,983.95x = 82,723,342.61
  5. Step 5: Solve for x
    x = 82,723,342.61/9,983.95
  6. Step 6: Final answer
    x = 8,285.63

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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.