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Finding the Fourth Proportional to 9,344.22, 12,894.93 and 5,366.58

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Solution

The fourth proportional to 9,344.22, 12,894.93 and 5,366.58 is: 7,405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.22 : 12,894.93 = 5,366.58 : x
  2. Step 2: Convert to fraction form
    9,344.22/12,894.93 = 5,366.58/x
  3. Step 3: Cross multiply
    9,344.22x = 12,894.93 × 5,366.58
  4. Step 4: Simplify right side
    9,344.22x = 69,201,673.44
  5. Step 5: Solve for x
    x = 69,201,673.44/9,344.22
  6. Step 6: Final answer
    x = 7,405.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.