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Finding the Fourth Proportional to 9,876.01, 13,633.77 and 6,705.94

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Solution

The fourth proportional to 9,876.01, 13,633.77 and 6,705.94 is: 9,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.01 : 13,633.77 = 6,705.94 : x
  2. Step 2: Convert to fraction form
    9,876.01/13,633.77 = 6,705.94/x
  3. Step 3: Cross multiply
    9,876.01x = 13,633.77 × 6,705.94
  4. Step 4: Simplify right side
    9,876.01x = 91,427,243.59
  5. Step 5: Solve for x
    x = 91,427,243.59/9,876.01
  6. Step 6: Final answer
    x = 9,257.51

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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.