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Finding the Fourth Proportional to 9,499.75, 13,111.27 and 5,523.19

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Solution

The fourth proportional to 9,499.75, 13,111.27 and 5,523.19 is: 7,622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.75 : 13,111.27 = 5,523.19 : x
  2. Step 2: Convert to fraction form
    9,499.75/13,111.27 = 5,523.19/x
  3. Step 3: Cross multiply
    9,499.75x = 13,111.27 × 5,523.19
  4. Step 4: Simplify right side
    9,499.75x = 72,415,988.77
  5. Step 5: Solve for x
    x = 72,415,988.77/9,499.75
  6. Step 6: Final answer
    x = 7,622.94

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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.