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Finding the Fourth Proportional to 6,374.49, 9,559.65 and 2,213.46

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Solution

The fourth proportional to 6,374.49, 9,559.65 and 2,213.46 is: 3,319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.49 : 9,559.65 = 2,213.46 : x
  2. Step 2: Convert to fraction form
    6,374.49/9,559.65 = 2,213.46/x
  3. Step 3: Cross multiply
    6,374.49x = 9,559.65 × 2,213.46
  4. Step 4: Simplify right side
    6,374.49x = 21,159,902.89
  5. Step 5: Solve for x
    x = 21,159,902.89/6,374.49
  6. Step 6: Final answer
    x = 3,319.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.