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Finding the Fourth Proportional to 6,307.69, 9,461.49 and 1,627.30

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Solution

The fourth proportional to 6,307.69, 9,461.49 and 1,627.30 is: 2,440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.69 : 9,461.49 = 1,627.30 : x
  2. Step 2: Convert to fraction form
    6,307.69/9,461.49 = 1,627.30/x
  3. Step 3: Cross multiply
    6,307.69x = 9,461.49 × 1,627.30
  4. Step 4: Simplify right side
    6,307.69x = 15,396,707.43
  5. Step 5: Solve for x
    x = 15,396,707.43/6,307.69
  6. Step 6: Final answer
    x = 2,440.94

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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.