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Finding the Fourth Proportional to 7,224.16, 9,970.40 and 4,241.64

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Solution

The fourth proportional to 7,224.16, 9,970.40 and 4,241.64 is: 5,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.16 : 9,970.40 = 4,241.64 : x
  2. Step 2: Convert to fraction form
    7,224.16/9,970.40 = 4,241.64/x
  3. Step 3: Cross multiply
    7,224.16x = 9,970.40 × 4,241.64
  4. Step 4: Simplify right side
    7,224.16x = 42,290,847.46
  5. Step 5: Solve for x
    x = 42,290,847.46/7,224.16
  6. Step 6: Final answer
    x = 5,854.09

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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.