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Finding the Fourth Proportional to 6,774.44, 9,345.60 and 4,385.18

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Solution

The fourth proportional to 6,774.44, 9,345.60 and 4,385.18 is: 6,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.44 : 9,345.60 = 4,385.18 : x
  2. Step 2: Convert to fraction form
    6,774.44/9,345.60 = 4,385.18/x
  3. Step 3: Cross multiply
    6,774.44x = 9,345.60 × 4,385.18
  4. Step 4: Simplify right side
    6,774.44x = 40,982,069.55
  5. Step 5: Solve for x
    x = 40,982,069.55/6,774.44
  6. Step 6: Final answer
    x = 6,049.52

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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.