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Finding the Fourth Proportional to 6,318.14, 8,715.27 and 4,636.58

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Solution

The fourth proportional to 6,318.14, 8,715.27 and 4,636.58 is: 6,395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.14 : 8,715.27 = 4,636.58 : x
  2. Step 2: Convert to fraction form
    6,318.14/8,715.27 = 4,636.58/x
  3. Step 3: Cross multiply
    6,318.14x = 8,715.27 × 4,636.58
  4. Step 4: Simplify right side
    6,318.14x = 40,409,046.58
  5. Step 5: Solve for x
    x = 40,409,046.58/6,318.14
  6. Step 6: Final answer
    x = 6,395.72

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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.