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Finding the Fourth Proportional to 9,650.91, 13,307.68 and 6,287.49

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Solution

The fourth proportional to 9,650.91, 13,307.68 and 6,287.49 is: 8,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.91 : 13,307.68 = 6,287.49 : x
  2. Step 2: Convert to fraction form
    9,650.91/13,307.68 = 6,287.49/x
  3. Step 3: Cross multiply
    9,650.91x = 13,307.68 × 6,287.49
  4. Step 4: Simplify right side
    9,650.91x = 83,671,904.92
  5. Step 5: Solve for x
    x = 83,671,904.92/9,650.91
  6. Step 6: Final answer
    x = 8,669.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.