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Finding the Fourth Proportional to 9,085.37, 13,615.85 and 6,862.37

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Solution

The fourth proportional to 9,085.37, 13,615.85 and 6,862.37 is: 10,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.37 : 13,615.85 = 6,862.37 : x
  2. Step 2: Convert to fraction form
    9,085.37/13,615.85 = 6,862.37/x
  3. Step 3: Cross multiply
    9,085.37x = 13,615.85 × 6,862.37
  4. Step 4: Simplify right side
    9,085.37x = 93,436,949.64
  5. Step 5: Solve for x
    x = 93,436,949.64/9,085.37
  6. Step 6: Final answer
    x = 10,284.34

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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.