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Finding the Fourth Proportional to 6,534.57, 9,788.65 and 5,220.55

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Solution

The fourth proportional to 6,534.57, 9,788.65 and 5,220.55 is: 7,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.57 : 9,788.65 = 5,220.55 : x
  2. Step 2: Convert to fraction form
    6,534.57/9,788.65 = 5,220.55/x
  3. Step 3: Cross multiply
    6,534.57x = 9,788.65 × 5,220.55
  4. Step 4: Simplify right side
    6,534.57x = 51,102,135.94
  5. Step 5: Solve for x
    x = 51,102,135.94/6,534.57
  6. Step 6: Final answer
    x = 7,820.27

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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.