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Finding the Fourth Proportional to 6,404.15, 9,607.25 and 2,706.41

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Solution

The fourth proportional to 6,404.15, 9,607.25 and 2,706.41 is: 4,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.15 : 9,607.25 = 2,706.41 : x
  2. Step 2: Convert to fraction form
    6,404.15/9,607.25 = 2,706.41/x
  3. Step 3: Cross multiply
    6,404.15x = 9,607.25 × 2,706.41
  4. Step 4: Simplify right side
    6,404.15x = 26,001,188.26
  5. Step 5: Solve for x
    x = 26,001,188.26/6,404.15
  6. Step 6: Final answer
    x = 4,060.05

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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.