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Finding the Fourth Proportional to 6,416.52, 9,627.18 and 2,906.40

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Solution

The fourth proportional to 6,416.52, 9,627.18 and 2,906.40 is: 4,360.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.52 : 9,627.18 = 2,906.40 : x
  2. Step 2: Convert to fraction form
    6,416.52/9,627.18 = 2,906.40/x
  3. Step 3: Cross multiply
    6,416.52x = 9,627.18 × 2,906.40
  4. Step 4: Simplify right side
    6,416.52x = 27,980,435.95
  5. Step 5: Solve for x
    x = 27,980,435.95/6,416.52
  6. Step 6: Final answer
    x = 4,360.69

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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.