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Finding the Fourth Proportional to 9,883.17, 13,634.06 and 6,104.98

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Solution

The fourth proportional to 9,883.17, 13,634.06 and 6,104.98 is: 8,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.17 : 13,634.06 = 6,104.98 : x
  2. Step 2: Convert to fraction form
    9,883.17/13,634.06 = 6,104.98/x
  3. Step 3: Cross multiply
    9,883.17x = 13,634.06 × 6,104.98
  4. Step 4: Simplify right side
    9,883.17x = 83,235,624.96
  5. Step 5: Solve for x
    x = 83,235,624.96/9,883.17
  6. Step 6: Final answer
    x = 8,421.96

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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.