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Finding the Fourth Proportional to 9,199.77, 13,810.38 and 4,523.64

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Solution

The fourth proportional to 9,199.77, 13,810.38 and 4,523.64 is: 6,790.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.77 : 13,810.38 = 4,523.64 : x
  2. Step 2: Convert to fraction form
    9,199.77/13,810.38 = 4,523.64/x
  3. Step 3: Cross multiply
    9,199.77x = 13,810.38 × 4,523.64
  4. Step 4: Simplify right side
    9,199.77x = 62,473,187.38
  5. Step 5: Solve for x
    x = 62,473,187.38/9,199.77
  6. Step 6: Final answer
    x = 6,790.73

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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.