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Finding the Fourth Proportional to 6,855.89, 9,462.49 and 4,497.98

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Solution

The fourth proportional to 6,855.89, 9,462.49 and 4,497.98 is: 6,208.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.89 : 9,462.49 = 4,497.98 : x
  2. Step 2: Convert to fraction form
    6,855.89/9,462.49 = 4,497.98/x
  3. Step 3: Cross multiply
    6,855.89x = 9,462.49 × 4,497.98
  4. Step 4: Simplify right side
    6,855.89x = 42,562,032.21
  5. Step 5: Solve for x
    x = 42,562,032.21/6,855.89
  6. Step 6: Final answer
    x = 6,208.10

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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.