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Finding the Fourth Proportional to 6,950.16, 9,592.14 and 3,965.31

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Solution

The fourth proportional to 6,950.16, 9,592.14 and 3,965.31 is: 5,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.16 : 9,592.14 = 3,965.31 : x
  2. Step 2: Convert to fraction form
    6,950.16/9,592.14 = 3,965.31/x
  3. Step 3: Cross multiply
    6,950.16x = 9,592.14 × 3,965.31
  4. Step 4: Simplify right side
    6,950.16x = 38,035,808.66
  5. Step 5: Solve for x
    x = 38,035,808.66/6,950.16
  6. Step 6: Final answer
    x = 5,472.65

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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.