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Finding the Fourth Proportional to 7,697.86, 11,554.96 and 6,254.44

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Solution

The fourth proportional to 7,697.86, 11,554.96 and 6,254.44 is: 9,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.86 : 11,554.96 = 6,254.44 : x
  2. Step 2: Convert to fraction form
    7,697.86/11,554.96 = 6,254.44/x
  3. Step 3: Cross multiply
    7,697.86x = 11,554.96 × 6,254.44
  4. Step 4: Simplify right side
    7,697.86x = 72,269,804.02
  5. Step 5: Solve for x
    x = 72,269,804.02/7,697.86
  6. Step 6: Final answer
    x = 9,388.30

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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.