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Finding the Fourth Proportional to 6,469.14, 8,925.21 and 5,289.78

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Solution

The fourth proportional to 6,469.14, 8,925.21 and 5,289.78 is: 7,298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.14 : 8,925.21 = 5,289.78 : x
  2. Step 2: Convert to fraction form
    6,469.14/8,925.21 = 5,289.78/x
  3. Step 3: Cross multiply
    6,469.14x = 8,925.21 × 5,289.78
  4. Step 4: Simplify right side
    6,469.14x = 47,212,397.35
  5. Step 5: Solve for x
    x = 47,212,397.35/6,469.14
  6. Step 6: Final answer
    x = 7,298.09

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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.