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Finding the Fourth Proportional to 9,614.40, 13,267.97 and 5,365.86

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Solution

The fourth proportional to 9,614.40, 13,267.97 and 5,365.86 is: 7,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.40 : 13,267.97 = 5,365.86 : x
  2. Step 2: Convert to fraction form
    9,614.40/13,267.97 = 5,365.86/x
  3. Step 3: Cross multiply
    9,614.40x = 13,267.97 × 5,365.86
  4. Step 4: Simplify right side
    9,614.40x = 71,194,069.50
  5. Step 5: Solve for x
    x = 71,194,069.50/9,614.40
  6. Step 6: Final answer
    x = 7,404.94

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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.