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Finding the Fourth Proportional to 6,904.11, 9,529.85 and 4,071.27

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Solution

The fourth proportional to 6,904.11, 9,529.85 and 4,071.27 is: 5,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.11 : 9,529.85 = 4,071.27 : x
  2. Step 2: Convert to fraction form
    6,904.11/9,529.85 = 4,071.27/x
  3. Step 3: Cross multiply
    6,904.11x = 9,529.85 × 4,071.27
  4. Step 4: Simplify right side
    6,904.11x = 38,798,572.05
  5. Step 5: Solve for x
    x = 38,798,572.05/6,904.11
  6. Step 6: Final answer
    x = 5,619.63

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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.