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Finding the Fourth Proportional to 6,302.74, 9,456.02 and 1,920.23

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Solution

The fourth proportional to 6,302.74, 9,456.02 and 1,920.23 is: 2,880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.74 : 9,456.02 = 1,920.23 : x
  2. Step 2: Convert to fraction form
    6,302.74/9,456.02 = 1,920.23/x
  3. Step 3: Cross multiply
    6,302.74x = 9,456.02 × 1,920.23
  4. Step 4: Simplify right side
    6,302.74x = 18,157,733.28
  5. Step 5: Solve for x
    x = 18,157,733.28/6,302.74
  6. Step 6: Final answer
    x = 2,880.93

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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.