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Finding the Fourth Proportional to 9,676.18, 14,494.83 and 5,778.46

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Solution

The fourth proportional to 9,676.18, 14,494.83 and 5,778.46 is: 8,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.18 : 14,494.83 = 5,778.46 : x
  2. Step 2: Convert to fraction form
    9,676.18/14,494.83 = 5,778.46/x
  3. Step 3: Cross multiply
    9,676.18x = 14,494.83 × 5,778.46
  4. Step 4: Simplify right side
    9,676.18x = 83,757,795.36
  5. Step 5: Solve for x
    x = 83,757,795.36/9,676.18
  6. Step 6: Final answer
    x = 8,656.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.