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Finding the Fourth Proportional to 6,271.86, 8,635.49 and 5,325.78

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Solution

The fourth proportional to 6,271.86, 8,635.49 and 5,325.78 is: 7,332.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.86 : 8,635.49 = 5,325.78 : x
  2. Step 2: Convert to fraction form
    6,271.86/8,635.49 = 5,325.78/x
  3. Step 3: Cross multiply
    6,271.86x = 8,635.49 × 5,325.78
  4. Step 4: Simplify right side
    6,271.86x = 45,990,719.93
  5. Step 5: Solve for x
    x = 45,990,719.93/6,271.86
  6. Step 6: Final answer
    x = 7,332.87

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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.