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Finding the Fourth Proportional to 6,292.86, 8,680.95 and 4,193.34

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Solution

The fourth proportional to 6,292.86, 8,680.95 and 4,193.34 is: 5,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.86 : 8,680.95 = 4,193.34 : x
  2. Step 2: Convert to fraction form
    6,292.86/8,680.95 = 4,193.34/x
  3. Step 3: Cross multiply
    6,292.86x = 8,680.95 × 4,193.34
  4. Step 4: Simplify right side
    6,292.86x = 36,402,174.87
  5. Step 5: Solve for x
    x = 36,402,174.87/6,292.86
  6. Step 6: Final answer
    x = 5,784.68

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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.