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Finding the Fourth Proportional to 9,660.77, 14,493.02 and 3,420.08

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Solution

The fourth proportional to 9,660.77, 14,493.02 and 3,420.08 is: 5,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.77 : 14,493.02 = 3,420.08 : x
  2. Step 2: Convert to fraction form
    9,660.77/14,493.02 = 3,420.08/x
  3. Step 3: Cross multiply
    9,660.77x = 14,493.02 × 3,420.08
  4. Step 4: Simplify right side
    9,660.77x = 49,567,287.84
  5. Step 5: Solve for x
    x = 49,567,287.84/9,660.77
  6. Step 6: Final answer
    x = 5,130.78

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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.