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Finding the Fourth Proportional to 9,311.97, 12,864.65 and 6,950.01

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Solution

The fourth proportional to 9,311.97, 12,864.65 and 6,950.01 is: 9,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.97 : 12,864.65 = 6,950.01 : x
  2. Step 2: Convert to fraction form
    9,311.97/12,864.65 = 6,950.01/x
  3. Step 3: Cross multiply
    9,311.97x = 12,864.65 × 6,950.01
  4. Step 4: Simplify right side
    9,311.97x = 89,409,411.40
  5. Step 5: Solve for x
    x = 89,409,411.40/9,311.97
  6. Step 6: Final answer
    x = 9,601.56

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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.