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Finding the Fourth Proportional to 9,695.13, 14,542.74 and 3,851.75

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Solution

The fourth proportional to 9,695.13, 14,542.74 and 3,851.75 is: 5,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.13 : 14,542.74 = 3,851.75 : x
  2. Step 2: Convert to fraction form
    9,695.13/14,542.74 = 3,851.75/x
  3. Step 3: Cross multiply
    9,695.13x = 14,542.74 × 3,851.75
  4. Step 4: Simplify right side
    9,695.13x = 56,015,035.15
  5. Step 5: Solve for x
    x = 56,015,035.15/9,695.13
  6. Step 6: Final answer
    x = 5,777.65

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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.