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Finding the Fourth Proportional to 9,697.96, 13,379.88 and 5,920.12

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Solution

The fourth proportional to 9,697.96, 13,379.88 and 5,920.12 is: 8,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.96 : 13,379.88 = 5,920.12 : x
  2. Step 2: Convert to fraction form
    9,697.96/13,379.88 = 5,920.12/x
  3. Step 3: Cross multiply
    9,697.96x = 13,379.88 × 5,920.12
  4. Step 4: Simplify right side
    9,697.96x = 79,210,495.19
  5. Step 5: Solve for x
    x = 79,210,495.19/9,697.96
  6. Step 6: Final answer
    x = 8,167.75

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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.