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Finding the Fourth Proportional to 9,409.26, 14,113.80 and 5,712.51

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Solution

The fourth proportional to 9,409.26, 14,113.80 and 5,712.51 is: 8,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.26 : 14,113.80 = 5,712.51 : x
  2. Step 2: Convert to fraction form
    9,409.26/14,113.80 = 5,712.51/x
  3. Step 3: Cross multiply
    9,409.26x = 14,113.80 × 5,712.51
  4. Step 4: Simplify right side
    9,409.26x = 80,625,223.64
  5. Step 5: Solve for x
    x = 80,625,223.64/9,409.26
  6. Step 6: Final answer
    x = 8,568.71

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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.