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Finding the Fourth Proportional to 6,906.47, 9,527.75 and 4,071.91

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Solution

The fourth proportional to 6,906.47, 9,527.75 and 4,071.91 is: 5,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.47 : 9,527.75 = 4,071.91 : x
  2. Step 2: Convert to fraction form
    6,906.47/9,527.75 = 4,071.91/x
  3. Step 3: Cross multiply
    6,906.47x = 9,527.75 × 4,071.91
  4. Step 4: Simplify right side
    6,906.47x = 38,796,140.50
  5. Step 5: Solve for x
    x = 38,796,140.50/6,906.47
  6. Step 6: Final answer
    x = 5,617.36

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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.