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Finding the Fourth Proportional to 6,292.62, 9,437.54 and 3,818.57

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Solution

The fourth proportional to 6,292.62, 9,437.54 and 3,818.57 is: 5,727.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.62 : 9,437.54 = 3,818.57 : x
  2. Step 2: Convert to fraction form
    6,292.62/9,437.54 = 3,818.57/x
  3. Step 3: Cross multiply
    6,292.62x = 9,437.54 × 3,818.57
  4. Step 4: Simplify right side
    6,292.62x = 36,037,840.84
  5. Step 5: Solve for x
    x = 36,037,840.84/6,292.62
  6. Step 6: Final answer
    x = 5,727.00

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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.