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Finding the Fourth Proportional to 6,232.68, 9,347.16 and 5,134.32

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Solution

The fourth proportional to 6,232.68, 9,347.16 and 5,134.32 is: 7,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.68 : 9,347.16 = 5,134.32 : x
  2. Step 2: Convert to fraction form
    6,232.68/9,347.16 = 5,134.32/x
  3. Step 3: Cross multiply
    6,232.68x = 9,347.16 × 5,134.32
  4. Step 4: Simplify right side
    6,232.68x = 47,991,310.53
  5. Step 5: Solve for x
    x = 47,991,310.53/6,232.68
  6. Step 6: Final answer
    x = 7,699.95

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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.