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Finding the Fourth Proportional to 9,311.41, 13,969.17 and 3,071.17

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Solution

The fourth proportional to 9,311.41, 13,969.17 and 3,071.17 is: 4,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.41 : 13,969.17 = 3,071.17 : x
  2. Step 2: Convert to fraction form
    9,311.41/13,969.17 = 3,071.17/x
  3. Step 3: Cross multiply
    9,311.41x = 13,969.17 × 3,071.17
  4. Step 4: Simplify right side
    9,311.41x = 42,901,695.83
  5. Step 5: Solve for x
    x = 42,901,695.83/9,311.41
  6. Step 6: Final answer
    x = 4,607.43

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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.