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Finding the Fourth Proportional to 6,404.42, 8,836.07 and 5,055.77

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Solution

The fourth proportional to 6,404.42, 8,836.07 and 5,055.77 is: 6,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.42 : 8,836.07 = 5,055.77 : x
  2. Step 2: Convert to fraction form
    6,404.42/8,836.07 = 5,055.77/x
  3. Step 3: Cross multiply
    6,404.42x = 8,836.07 × 5,055.77
  4. Step 4: Simplify right side
    6,404.42x = 44,673,137.62
  5. Step 5: Solve for x
    x = 44,673,137.62/6,404.42
  6. Step 6: Final answer
    x = 6,975.36

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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.