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Finding the Fourth Proportional to 9,301.75, 12,833.21 and 5,946.52

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Solution

The fourth proportional to 9,301.75, 12,833.21 and 5,946.52 is: 8,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.75 : 12,833.21 = 5,946.52 : x
  2. Step 2: Convert to fraction form
    9,301.75/12,833.21 = 5,946.52/x
  3. Step 3: Cross multiply
    9,301.75x = 12,833.21 × 5,946.52
  4. Step 4: Simplify right side
    9,301.75x = 76,312,939.93
  5. Step 5: Solve for x
    x = 76,312,939.93/9,301.75
  6. Step 6: Final answer
    x = 8,204.15

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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.