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Finding the Fourth Proportional to 6,897.65, 9,495.41 and 6,232.41

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Solution

The fourth proportional to 6,897.65, 9,495.41 and 6,232.41 is: 8,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.65 : 9,495.41 = 6,232.41 : x
  2. Step 2: Convert to fraction form
    6,897.65/9,495.41 = 6,232.41/x
  3. Step 3: Cross multiply
    6,897.65x = 9,495.41 × 6,232.41
  4. Step 4: Simplify right side
    6,897.65x = 59,179,257.08
  5. Step 5: Solve for x
    x = 59,179,257.08/6,897.65
  6. Step 6: Final answer
    x = 8,579.63

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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.