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Finding the Fourth Proportional to 6,339.72, 9,509.71 and 1,957.18

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Solution

The fourth proportional to 6,339.72, 9,509.71 and 1,957.18 is: 2,935.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.72 : 9,509.71 = 1,957.18 : x
  2. Step 2: Convert to fraction form
    6,339.72/9,509.71 = 1,957.18/x
  3. Step 3: Cross multiply
    6,339.72x = 9,509.71 × 1,957.18
  4. Step 4: Simplify right side
    6,339.72x = 18,612,214.22
  5. Step 5: Solve for x
    x = 18,612,214.22/6,339.72
  6. Step 6: Final answer
    x = 2,935.81

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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.