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Finding the Fourth Proportional to 6,594.30, 9,100.62 and 3,943.17

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Solution

The fourth proportional to 6,594.30, 9,100.62 and 3,943.17 is: 5,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.30 : 9,100.62 = 3,943.17 : x
  2. Step 2: Convert to fraction form
    6,594.30/9,100.62 = 3,943.17/x
  3. Step 3: Cross multiply
    6,594.30x = 9,100.62 × 3,943.17
  4. Step 4: Simplify right side
    6,594.30x = 35,885,291.77
  5. Step 5: Solve for x
    x = 35,885,291.77/6,594.30
  6. Step 6: Final answer
    x = 5,441.87

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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.