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Finding the Fourth Proportional to 6,194.96, 8,542.52 and 4,686.04

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Solution

The fourth proportional to 6,194.96, 8,542.52 and 4,686.04 is: 6,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.96 : 8,542.52 = 4,686.04 : x
  2. Step 2: Convert to fraction form
    6,194.96/8,542.52 = 4,686.04/x
  3. Step 3: Cross multiply
    6,194.96x = 8,542.52 × 4,686.04
  4. Step 4: Simplify right side
    6,194.96x = 40,030,590.42
  5. Step 5: Solve for x
    x = 40,030,590.42/6,194.96
  6. Step 6: Final answer
    x = 6,461.80

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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.