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Finding the Fourth Proportional to 9,396.12, 14,078.78 and 5,699.54

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Solution

The fourth proportional to 9,396.12, 14,078.78 and 5,699.54 is: 8,539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.12 : 14,078.78 = 5,699.54 : x
  2. Step 2: Convert to fraction form
    9,396.12/14,078.78 = 5,699.54/x
  3. Step 3: Cross multiply
    9,396.12x = 14,078.78 × 5,699.54
  4. Step 4: Simplify right side
    9,396.12x = 80,242,569.76
  5. Step 5: Solve for x
    x = 80,242,569.76/9,396.12
  6. Step 6: Final answer
    x = 8,539.97

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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.