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Finding the Fourth Proportional to 6,504.30, 9,756.45 and 3,223.80

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Solution

The fourth proportional to 6,504.30, 9,756.45 and 3,223.80 is: 4,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.30 : 9,756.45 = 3,223.80 : x
  2. Step 2: Convert to fraction form
    6,504.30/9,756.45 = 3,223.80/x
  3. Step 3: Cross multiply
    6,504.30x = 9,756.45 × 3,223.80
  4. Step 4: Simplify right side
    6,504.30x = 31,452,843.51
  5. Step 5: Solve for x
    x = 31,452,843.51/6,504.30
  6. Step 6: Final answer
    x = 4,835.70

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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.