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Finding the Fourth Proportional to 6,966.75, 9,612.43 and 3,941.93

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Solution

The fourth proportional to 6,966.75, 9,612.43 and 3,941.93 is: 5,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.75 : 9,612.43 = 3,941.93 : x
  2. Step 2: Convert to fraction form
    6,966.75/9,612.43 = 3,941.93/x
  3. Step 3: Cross multiply
    6,966.75x = 9,612.43 × 3,941.93
  4. Step 4: Simplify right side
    6,966.75x = 37,891,526.19
  5. Step 5: Solve for x
    x = 37,891,526.19/6,966.75
  6. Step 6: Final answer
    x = 5,438.91

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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.