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Finding the Fourth Proportional to 9,174.66, 12,656.94 and 5,446.50

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Solution

The fourth proportional to 9,174.66, 12,656.94 and 5,446.50 is: 7,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.66 : 12,656.94 = 5,446.50 : x
  2. Step 2: Convert to fraction form
    9,174.66/12,656.94 = 5,446.50/x
  3. Step 3: Cross multiply
    9,174.66x = 12,656.94 × 5,446.50
  4. Step 4: Simplify right side
    9,174.66x = 68,936,023.71
  5. Step 5: Solve for x
    x = 68,936,023.71/9,174.66
  6. Step 6: Final answer
    x = 7,513.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.