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Finding the Fourth Proportional to 6,086.40, 9,117.90 and 4,682.40

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Solution

The fourth proportional to 6,086.40, 9,117.90 and 4,682.40 is: 7,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.40 : 9,117.90 = 4,682.40 : x
  2. Step 2: Convert to fraction form
    6,086.40/9,117.90 = 4,682.40/x
  3. Step 3: Cross multiply
    6,086.40x = 9,117.90 × 4,682.40
  4. Step 4: Simplify right side
    6,086.40x = 42,693,654.96
  5. Step 5: Solve for x
    x = 42,693,654.96/6,086.40
  6. Step 6: Final answer
    x = 7,014.60

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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.