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Finding the Fourth Proportional to 6,446.60, 8,899.62 and 4,211.72

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Solution

The fourth proportional to 6,446.60, 8,899.62 and 4,211.72 is: 5,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.60 : 8,899.62 = 4,211.72 : x
  2. Step 2: Convert to fraction form
    6,446.60/8,899.62 = 4,211.72/x
  3. Step 3: Cross multiply
    6,446.60x = 8,899.62 × 4,211.72
  4. Step 4: Simplify right side
    6,446.60x = 37,482,707.55
  5. Step 5: Solve for x
    x = 37,482,707.55/6,446.60
  6. Step 6: Final answer
    x = 5,814.34

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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.