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Finding the Fourth Proportional to 7,163.20, 9,907.68 and 6,335.20

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Solution

The fourth proportional to 7,163.20, 9,907.68 and 6,335.20 is: 8,762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.20 : 9,907.68 = 6,335.20 : x
  2. Step 2: Convert to fraction form
    7,163.20/9,907.68 = 6,335.20/x
  3. Step 3: Cross multiply
    7,163.20x = 9,907.68 × 6,335.20
  4. Step 4: Simplify right side
    7,163.20x = 62,767,134.34
  5. Step 5: Solve for x
    x = 62,767,134.34/7,163.20
  6. Step 6: Final answer
    x = 8,762.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.