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Finding the Fourth Proportional to 6,756.78, 9,321.57 and 4,516.32

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Solution

The fourth proportional to 6,756.78, 9,321.57 and 4,516.32 is: 6,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.78 : 9,321.57 = 4,516.32 : x
  2. Step 2: Convert to fraction form
    6,756.78/9,321.57 = 4,516.32/x
  3. Step 3: Cross multiply
    6,756.78x = 9,321.57 × 4,516.32
  4. Step 4: Simplify right side
    6,756.78x = 42,099,193.02
  5. Step 5: Solve for x
    x = 42,099,193.02/6,756.78
  6. Step 6: Final answer
    x = 6,230.66

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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.