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Finding the Fourth Proportional to 9,615.86, 13,269.86 and 5,424.11

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Solution

The fourth proportional to 9,615.86, 13,269.86 and 5,424.11 is: 7,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.86 : 13,269.86 = 5,424.11 : x
  2. Step 2: Convert to fraction form
    9,615.86/13,269.86 = 5,424.11/x
  3. Step 3: Cross multiply
    9,615.86x = 13,269.86 × 5,424.11
  4. Step 4: Simplify right side
    9,615.86x = 71,977,086.85
  5. Step 5: Solve for x
    x = 71,977,086.85/9,615.86
  6. Step 6: Final answer
    x = 7,485.25

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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.