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Finding the Fourth Proportional to 7,700.44, 11,539.26 and 6,323.44

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Solution

The fourth proportional to 7,700.44, 11,539.26 and 6,323.44 is: 9,475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.44 : 11,539.26 = 6,323.44 : x
  2. Step 2: Convert to fraction form
    7,700.44/11,539.26 = 6,323.44/x
  3. Step 3: Cross multiply
    7,700.44x = 11,539.26 × 6,323.44
  4. Step 4: Simplify right side
    7,700.44x = 72,967,818.25
  5. Step 5: Solve for x
    x = 72,967,818.25/7,700.44
  6. Step 6: Final answer
    x = 9,475.80

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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.