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Finding the Fourth Proportional to 8,437.65, 11,644.59 and 6,209.74

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Solution

The fourth proportional to 8,437.65, 11,644.59 and 6,209.74 is: 8,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.65 : 11,644.59 = 6,209.74 : x
  2. Step 2: Convert to fraction form
    8,437.65/11,644.59 = 6,209.74/x
  3. Step 3: Cross multiply
    8,437.65x = 11,644.59 × 6,209.74
  4. Step 4: Simplify right side
    8,437.65x = 72,309,876.31
  5. Step 5: Solve for x
    x = 72,309,876.31/8,437.65
  6. Step 6: Final answer
    x = 8,569.91

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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.