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Finding the Fourth Proportional to 6,742.40, 9,303.74 and 3,909.18

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Solution

The fourth proportional to 6,742.40, 9,303.74 and 3,909.18 is: 5,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.40 : 9,303.74 = 3,909.18 : x
  2. Step 2: Convert to fraction form
    6,742.40/9,303.74 = 3,909.18/x
  3. Step 3: Cross multiply
    6,742.40x = 9,303.74 × 3,909.18
  4. Step 4: Simplify right side
    6,742.40x = 36,369,974.79
  5. Step 5: Solve for x
    x = 36,369,974.79/6,742.40
  6. Step 6: Final answer
    x = 5,394.22

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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.