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Finding the Fourth Proportional to 6,336.32, 9,497.89 and 2,384.86

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Solution

The fourth proportional to 6,336.32, 9,497.89 and 2,384.86 is: 3,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.32 : 9,497.89 = 2,384.86 : x
  2. Step 2: Convert to fraction form
    6,336.32/9,497.89 = 2,384.86/x
  3. Step 3: Cross multiply
    6,336.32x = 9,497.89 × 2,384.86
  4. Step 4: Simplify right side
    6,336.32x = 22,651,126.02
  5. Step 5: Solve for x
    x = 22,651,126.02/6,336.32
  6. Step 6: Final answer
    x = 3,574.81

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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.