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Finding the Fourth Proportional to 9,396.70, 12,966.89 and 5,146.91

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Solution

The fourth proportional to 9,396.70, 12,966.89 and 5,146.91 is: 7,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.70 : 12,966.89 = 5,146.91 : x
  2. Step 2: Convert to fraction form
    9,396.70/12,966.89 = 5,146.91/x
  3. Step 3: Cross multiply
    9,396.70x = 12,966.89 × 5,146.91
  4. Step 4: Simplify right side
    9,396.70x = 66,739,373.87
  5. Step 5: Solve for x
    x = 66,739,373.87/9,396.70
  6. Step 6: Final answer
    x = 7,102.43

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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.