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Finding the Fourth Proportional to 6,307.35, 9,462.17 and 2,147.15

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Solution

The fourth proportional to 6,307.35, 9,462.17 and 2,147.15 is: 3,221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.35 : 9,462.17 = 2,147.15 : x
  2. Step 2: Convert to fraction form
    6,307.35/9,462.17 = 2,147.15/x
  3. Step 3: Cross multiply
    6,307.35x = 9,462.17 × 2,147.15
  4. Step 4: Simplify right side
    6,307.35x = 20,316,656.37
  5. Step 5: Solve for x
    x = 20,316,656.37/6,307.35
  6. Step 6: Final answer
    x = 3,221.11

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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.