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Finding the Fourth Proportional to 9,650.48, 13,305.30 and 7,657.62

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Solution

The fourth proportional to 9,650.48, 13,305.30 and 7,657.62 is: 10,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.48 : 13,305.30 = 7,657.62 : x
  2. Step 2: Convert to fraction form
    9,650.48/13,305.30 = 7,657.62/x
  3. Step 3: Cross multiply
    9,650.48x = 13,305.30 × 7,657.62
  4. Step 4: Simplify right side
    9,650.48x = 101,886,931.39
  5. Step 5: Solve for x
    x = 101,886,931.39/9,650.48
  6. Step 6: Final answer
    x = 10,557.71

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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.