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Finding the Fourth Proportional to 6,374.16, 9,560.70 and 2,213.10

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Solution

The fourth proportional to 6,374.16, 9,560.70 and 2,213.10 is: 3,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.16 : 9,560.70 = 2,213.10 : x
  2. Step 2: Convert to fraction form
    6,374.16/9,560.70 = 2,213.10/x
  3. Step 3: Cross multiply
    6,374.16x = 9,560.70 × 2,213.10
  4. Step 4: Simplify right side
    6,374.16x = 21,158,785.17
  5. Step 5: Solve for x
    x = 21,158,785.17/6,374.16
  6. Step 6: Final answer
    x = 3,319.46

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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.