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Finding the Fourth Proportional to 9,170.64, 13,741.47 and 6,972.66

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Solution

The fourth proportional to 9,170.64, 13,741.47 and 6,972.66 is: 10,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.64 : 13,741.47 = 6,972.66 : x
  2. Step 2: Convert to fraction form
    9,170.64/13,741.47 = 6,972.66/x
  3. Step 3: Cross multiply
    9,170.64x = 13,741.47 × 6,972.66
  4. Step 4: Simplify right side
    9,170.64x = 95,814,598.21
  5. Step 5: Solve for x
    x = 95,814,598.21/9,170.64
  6. Step 6: Final answer
    x = 10,447.97

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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.