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Finding the Fourth Proportional to 9,197.51, 13,796.52 and 2,958.15

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Solution

The fourth proportional to 9,197.51, 13,796.52 and 2,958.15 is: 4,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.51 : 13,796.52 = 2,958.15 : x
  2. Step 2: Convert to fraction form
    9,197.51/13,796.52 = 2,958.15/x
  3. Step 3: Cross multiply
    9,197.51x = 13,796.52 × 2,958.15
  4. Step 4: Simplify right side
    9,197.51x = 40,812,175.64
  5. Step 5: Solve for x
    x = 40,812,175.64/9,197.51
  6. Step 6: Final answer
    x = 4,437.31

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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.