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Finding the Fourth Proportional to 6,424.68, 8,866.35 and 5,025

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Solution

The fourth proportional to 6,424.68, 8,866.35 and 5,025 is: 6,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.68 : 8,866.35 = 5,025 : x
  2. Step 2: Convert to fraction form
    6,424.68/8,866.35 = 5,025/x
  3. Step 3: Cross multiply
    6,424.68x = 8,866.35 × 5,025
  4. Step 4: Simplify right side
    6,424.68x = 44,553,408.75
  5. Step 5: Solve for x
    x = 44,553,408.75/6,424.68
  6. Step 6: Final answer
    x = 6,934.73

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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.