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Finding the Fourth Proportional to 6,416.59, 9,625.59 and 2,667.96

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Solution

The fourth proportional to 6,416.59, 9,625.59 and 2,667.96 is: 4,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.59 : 9,625.59 = 2,667.96 : x
  2. Step 2: Convert to fraction form
    6,416.59/9,625.59 = 2,667.96/x
  3. Step 3: Cross multiply
    6,416.59x = 9,625.59 × 2,667.96
  4. Step 4: Simplify right side
    6,416.59x = 25,680,689.10
  5. Step 5: Solve for x
    x = 25,680,689.10/6,416.59
  6. Step 6: Final answer
    x = 4,002.23

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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.