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Finding the Fourth Proportional to 6,966.75, 9,614.13 and 3,822.93

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Solution

The fourth proportional to 6,966.75, 9,614.13 and 3,822.93 is: 5,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.75 : 9,614.13 = 3,822.93 : x
  2. Step 2: Convert to fraction form
    6,966.75/9,614.13 = 3,822.93/x
  3. Step 3: Cross multiply
    6,966.75x = 9,614.13 × 3,822.93
  4. Step 4: Simplify right side
    6,966.75x = 36,754,146.00
  5. Step 5: Solve for x
    x = 36,754,146.00/6,966.75
  6. Step 6: Final answer
    x = 5,275.65

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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.