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Finding the Fourth Proportional to 9,777.20, 14,668.52 and 3,208.01

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Solution

The fourth proportional to 9,777.20, 14,668.52 and 3,208.01 is: 4,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.20 : 14,668.52 = 3,208.01 : x
  2. Step 2: Convert to fraction form
    9,777.20/14,668.52 = 3,208.01/x
  3. Step 3: Cross multiply
    9,777.20x = 14,668.52 × 3,208.01
  4. Step 4: Simplify right side
    9,777.20x = 47,056,669.46
  5. Step 5: Solve for x
    x = 47,056,669.46/9,777.20
  6. Step 6: Final answer
    x = 4,812.90

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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.