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Finding the Fourth Proportional to 6,740.40, 9,302.97 and 3,909.58

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Solution

The fourth proportional to 6,740.40, 9,302.97 and 3,909.58 is: 5,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.40 : 9,302.97 = 3,909.58 : x
  2. Step 2: Convert to fraction form
    6,740.40/9,302.97 = 3,909.58/x
  3. Step 3: Cross multiply
    6,740.40x = 9,302.97 × 3,909.58
  4. Step 4: Simplify right side
    6,740.40x = 36,370,685.90
  5. Step 5: Solve for x
    x = 36,370,685.90/6,740.40
  6. Step 6: Final answer
    x = 5,395.93

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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.