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Finding the Fourth Proportional to 9,246.95, 13,871.78 and 3,403.07

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Solution

The fourth proportional to 9,246.95, 13,871.78 and 3,403.07 is: 5,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.95 : 13,871.78 = 3,403.07 : x
  2. Step 2: Convert to fraction form
    9,246.95/13,871.78 = 3,403.07/x
  3. Step 3: Cross multiply
    9,246.95x = 13,871.78 × 3,403.07
  4. Step 4: Simplify right side
    9,246.95x = 47,206,638.36
  5. Step 5: Solve for x
    x = 47,206,638.36/9,246.95
  6. Step 6: Final answer
    x = 5,105.10

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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.