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Finding the Fourth Proportional to 9,697.04, 13,377.93 and 6,158.96

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Solution

The fourth proportional to 9,697.04, 13,377.93 and 6,158.96 is: 8,496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.04 : 13,377.93 = 6,158.96 : x
  2. Step 2: Convert to fraction form
    9,697.04/13,377.93 = 6,158.96/x
  3. Step 3: Cross multiply
    9,697.04x = 13,377.93 × 6,158.96
  4. Step 4: Simplify right side
    9,697.04x = 82,394,135.75
  5. Step 5: Solve for x
    x = 82,394,135.75/9,697.04
  6. Step 6: Final answer
    x = 8,496.83

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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.