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Finding the Fourth Proportional to 9,221.86, 13,798.77 and 5,526.64

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Solution

The fourth proportional to 9,221.86, 13,798.77 and 5,526.64 is: 8,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.86 : 13,798.77 = 5,526.64 : x
  2. Step 2: Convert to fraction form
    9,221.86/13,798.77 = 5,526.64/x
  3. Step 3: Cross multiply
    9,221.86x = 13,798.77 × 5,526.64
  4. Step 4: Simplify right side
    9,221.86x = 76,260,834.23
  5. Step 5: Solve for x
    x = 76,260,834.23/9,221.86
  6. Step 6: Final answer
    x = 8,269.57

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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.