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Finding the Fourth Proportional to 9,323.43, 12,867.33 and 5,345.84

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Solution

The fourth proportional to 9,323.43, 12,867.33 and 5,345.84 is: 7,377.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.43 : 12,867.33 = 5,345.84 : x
  2. Step 2: Convert to fraction form
    9,323.43/12,867.33 = 5,345.84/x
  3. Step 3: Cross multiply
    9,323.43x = 12,867.33 × 5,345.84
  4. Step 4: Simplify right side
    9,323.43x = 68,786,623.07
  5. Step 5: Solve for x
    x = 68,786,623.07/9,323.43
  6. Step 6: Final answer
    x = 7,377.82

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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.