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Finding the Fourth Proportional to 6,509.30, 9,768.97 and 3,390.10

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Solution

The fourth proportional to 6,509.30, 9,768.97 and 3,390.10 is: 5,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.30 : 9,768.97 = 3,390.10 : x
  2. Step 2: Convert to fraction form
    6,509.30/9,768.97 = 3,390.10/x
  3. Step 3: Cross multiply
    6,509.30x = 9,768.97 × 3,390.10
  4. Step 4: Simplify right side
    6,509.30x = 33,117,752.30
  5. Step 5: Solve for x
    x = 33,117,752.30/6,509.30
  6. Step 6: Final answer
    x = 5,087.76

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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.