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Finding the Fourth Proportional to 9,789.56, 13,506.06 and 6,434.22

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Solution

The fourth proportional to 9,789.56, 13,506.06 and 6,434.22 is: 8,876.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.56 : 13,506.06 = 6,434.22 : x
  2. Step 2: Convert to fraction form
    9,789.56/13,506.06 = 6,434.22/x
  3. Step 3: Cross multiply
    9,789.56x = 13,506.06 × 6,434.22
  4. Step 4: Simplify right side
    9,789.56x = 86,900,961.37
  5. Step 5: Solve for x
    x = 86,900,961.37/9,789.56
  6. Step 6: Final answer
    x = 8,876.90

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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.