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Finding the Fourth Proportional to 6,409.34, 9,613.76 and 2,026.81

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Solution

The fourth proportional to 6,409.34, 9,613.76 and 2,026.81 is: 3,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.34 : 9,613.76 = 2,026.81 : x
  2. Step 2: Convert to fraction form
    6,409.34/9,613.76 = 2,026.81/x
  3. Step 3: Cross multiply
    6,409.34x = 9,613.76 × 2,026.81
  4. Step 4: Simplify right side
    6,409.34x = 19,485,266.79
  5. Step 5: Solve for x
    x = 19,485,266.79/6,409.34
  6. Step 6: Final answer
    x = 3,040.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.