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Finding the Fourth Proportional to 9,649.11, 14,473.25 and 3,409.17

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Solution

The fourth proportional to 9,649.11, 14,473.25 and 3,409.17 is: 5,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.11 : 14,473.25 = 3,409.17 : x
  2. Step 2: Convert to fraction form
    9,649.11/14,473.25 = 3,409.17/x
  3. Step 3: Cross multiply
    9,649.11x = 14,473.25 × 3,409.17
  4. Step 4: Simplify right side
    9,649.11x = 49,341,752.66
  5. Step 5: Solve for x
    x = 49,341,752.66/9,649.11
  6. Step 6: Final answer
    x = 5,113.61

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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.