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Finding the Fourth Proportional to 6,693.71, 9,237.40 and 3,709.61

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Solution

The fourth proportional to 6,693.71, 9,237.40 and 3,709.61 is: 5,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693.71 : 9,237.40 = 3,709.61 : x
  2. Step 2: Convert to fraction form
    6,693.71/9,237.40 = 3,709.61/x
  3. Step 3: Cross multiply
    6,693.71x = 9,237.40 × 3,709.61
  4. Step 4: Simplify right side
    6,693.71x = 34,267,095.95
  5. Step 5: Solve for x
    x = 34,267,095.95/6,693.71
  6. Step 6: Final answer
    x = 5,119.30

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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.