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Finding the Fourth Proportional to 6,226.30, 8,603.22 and 4,977.66

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Solution

The fourth proportional to 6,226.30, 8,603.22 and 4,977.66 is: 6,877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.30 : 8,603.22 = 4,977.66 : x
  2. Step 2: Convert to fraction form
    6,226.30/8,603.22 = 4,977.66/x
  3. Step 3: Cross multiply
    6,226.30x = 8,603.22 × 4,977.66
  4. Step 4: Simplify right side
    6,226.30x = 42,823,904.07
  5. Step 5: Solve for x
    x = 42,823,904.07/6,226.30
  6. Step 6: Final answer
    x = 6,877.91

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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.