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Finding the Fourth Proportional to 5,961.39, 8,946.63 and 4,294.71

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Solution

The fourth proportional to 5,961.39, 8,946.63 and 4,294.71 is: 6,445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.39 : 8,946.63 = 4,294.71 : x
  2. Step 2: Convert to fraction form
    5,961.39/8,946.63 = 4,294.71/x
  3. Step 3: Cross multiply
    5,961.39x = 8,946.63 × 4,294.71
  4. Step 4: Simplify right side
    5,961.39x = 38,423,181.33
  5. Step 5: Solve for x
    x = 38,423,181.33/5,961.39
  6. Step 6: Final answer
    x = 6,445.34

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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.