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Finding the Fourth Proportional to 9,146.84, 12,622.88 and 5,167.86

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Solution

The fourth proportional to 9,146.84, 12,622.88 and 5,167.86 is: 7,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.84 : 12,622.88 = 5,167.86 : x
  2. Step 2: Convert to fraction form
    9,146.84/12,622.88 = 5,167.86/x
  3. Step 3: Cross multiply
    9,146.84x = 12,622.88 × 5,167.86
  4. Step 4: Simplify right side
    9,146.84x = 65,233,276.64
  5. Step 5: Solve for x
    x = 65,233,276.64/9,146.84
  6. Step 6: Final answer
    x = 7,131.79

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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.