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Finding the Fourth Proportional to 9,857.42, 13,618.08 and 6,462.50

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Solution

The fourth proportional to 9,857.42, 13,618.08 and 6,462.50 is: 8,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.42 : 13,618.08 = 6,462.50 : x
  2. Step 2: Convert to fraction form
    9,857.42/13,618.08 = 6,462.50/x
  3. Step 3: Cross multiply
    9,857.42x = 13,618.08 × 6,462.50
  4. Step 4: Simplify right side
    9,857.42x = 88,006,791.80
  5. Step 5: Solve for x
    x = 88,006,791.80/9,857.42
  6. Step 6: Final answer
    x = 8,927.97

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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.