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Finding the Fourth Proportional to 6,431.70, 8,876.64 and 4,074.06

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Solution

The fourth proportional to 6,431.70, 8,876.64 and 4,074.06 is: 5,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.70 : 8,876.64 = 4,074.06 : x
  2. Step 2: Convert to fraction form
    6,431.70/8,876.64 = 4,074.06/x
  3. Step 3: Cross multiply
    6,431.70x = 8,876.64 × 4,074.06
  4. Step 4: Simplify right side
    6,431.70x = 36,163,963.96
  5. Step 5: Solve for x
    x = 36,163,963.96/6,431.70
  6. Step 6: Final answer
    x = 5,622.77

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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.