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Finding the Fourth Proportional to 9,344.43, 12,894.73 and 5,362.74

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Solution

The fourth proportional to 9,344.43, 12,894.73 and 5,362.74 is: 7,400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.43 : 12,894.73 = 5,362.74 : x
  2. Step 2: Convert to fraction form
    9,344.43/12,894.73 = 5,362.74/x
  3. Step 3: Cross multiply
    9,344.43x = 12,894.73 × 5,362.74
  4. Step 4: Simplify right side
    9,344.43x = 69,151,070.95
  5. Step 5: Solve for x
    x = 69,151,070.95/9,344.43
  6. Step 6: Final answer
    x = 7,400.24

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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.