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Finding the Fourth Proportional to 9,174.16, 12,656.28 and 5,446

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Solution

The fourth proportional to 9,174.16, 12,656.28 and 5,446 is: 7,513.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.16 : 12,656.28 = 5,446 : x
  2. Step 2: Convert to fraction form
    9,174.16/12,656.28 = 5,446/x
  3. Step 3: Cross multiply
    9,174.16x = 12,656.28 × 5,446
  4. Step 4: Simplify right side
    9,174.16x = 68,926,100.88
  5. Step 5: Solve for x
    x = 68,926,100.88/9,174.16
  6. Step 6: Final answer
    x = 7,513.07

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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.