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Finding the Fourth Proportional to 6,402.31, 9,607.11 and 5,111.98

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Solution

The fourth proportional to 6,402.31, 9,607.11 and 5,111.98 is: 7,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.31 : 9,607.11 = 5,111.98 : x
  2. Step 2: Convert to fraction form
    6,402.31/9,607.11 = 5,111.98/x
  3. Step 3: Cross multiply
    6,402.31x = 9,607.11 × 5,111.98
  4. Step 4: Simplify right side
    6,402.31x = 49,111,310.99
  5. Step 5: Solve for x
    x = 49,111,310.99/6,402.31
  6. Step 6: Final answer
    x = 7,670.88

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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.