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Finding the Fourth Proportional to 9,796.90, 14,695.34 and 3,952.14

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Solution

The fourth proportional to 9,796.90, 14,695.34 and 3,952.14 is: 5,928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.90 : 14,695.34 = 3,952.14 : x
  2. Step 2: Convert to fraction form
    9,796.90/14,695.34 = 3,952.14/x
  3. Step 3: Cross multiply
    9,796.90x = 14,695.34 × 3,952.14
  4. Step 4: Simplify right side
    9,796.90x = 58,077,967.55
  5. Step 5: Solve for x
    x = 58,077,967.55/9,796.90
  6. Step 6: Final answer
    x = 5,928.20

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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.