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Finding the Fourth Proportional to 6,509.30, 9,763.03 and 2,126.79

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Solution

The fourth proportional to 6,509.30, 9,763.03 and 2,126.79 is: 3,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.30 : 9,763.03 = 2,126.79 : x
  2. Step 2: Convert to fraction form
    6,509.30/9,763.03 = 2,126.79/x
  3. Step 3: Cross multiply
    6,509.30x = 9,763.03 × 2,126.79
  4. Step 4: Simplify right side
    6,509.30x = 20,763,917.23
  5. Step 5: Solve for x
    x = 20,763,917.23/6,509.30
  6. Step 6: Final answer
    x = 3,189.89

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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.