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Finding the Fourth Proportional to 6,307.27, 9,460.90 and 2,147.72

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Solution

The fourth proportional to 6,307.27, 9,460.90 and 2,147.72 is: 3,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.27 : 9,460.90 = 2,147.72 : x
  2. Step 2: Convert to fraction form
    6,307.27/9,460.90 = 2,147.72/x
  3. Step 3: Cross multiply
    6,307.27x = 9,460.90 × 2,147.72
  4. Step 4: Simplify right side
    6,307.27x = 20,319,319.53
  5. Step 5: Solve for x
    x = 20,319,319.53/6,307.27
  6. Step 6: Final answer
    x = 3,221.57

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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.