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Finding the Fourth Proportional to 9,323.10, 13,993.44 and 3,405.72

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Solution

The fourth proportional to 9,323.10, 13,993.44 and 3,405.72 is: 5,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.10 : 13,993.44 = 3,405.72 : x
  2. Step 2: Convert to fraction form
    9,323.10/13,993.44 = 3,405.72/x
  3. Step 3: Cross multiply
    9,323.10x = 13,993.44 × 3,405.72
  4. Step 4: Simplify right side
    9,323.10x = 47,657,738.48
  5. Step 5: Solve for x
    x = 47,657,738.48/9,323.10
  6. Step 6: Final answer
    x = 5,111.79

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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.