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Finding the Fourth Proportional to 6,281.24, 9,420.64 and 5,968.98

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Solution

The fourth proportional to 6,281.24, 9,420.64 and 5,968.98 is: 8,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.24 : 9,420.64 = 5,968.98 : x
  2. Step 2: Convert to fraction form
    6,281.24/9,420.64 = 5,968.98/x
  3. Step 3: Cross multiply
    6,281.24x = 9,420.64 × 5,968.98
  4. Step 4: Simplify right side
    6,281.24x = 56,231,596.82
  5. Step 5: Solve for x
    x = 56,231,596.82/6,281.24
  6. Step 6: Final answer
    x = 8,952.32

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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.