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Finding the Fourth Proportional to 9,517.66, 14,272.71 and 3,670.54

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Solution

The fourth proportional to 9,517.66, 14,272.71 and 3,670.54 is: 5,504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.66 : 14,272.71 = 3,670.54 : x
  2. Step 2: Convert to fraction form
    9,517.66/14,272.71 = 3,670.54/x
  3. Step 3: Cross multiply
    9,517.66x = 14,272.71 × 3,670.54
  4. Step 4: Simplify right side
    9,517.66x = 52,388,552.96
  5. Step 5: Solve for x
    x = 52,388,552.96/9,517.66
  6. Step 6: Final answer
    x = 5,504.35

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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.