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Finding the Fourth Proportional to 9,174, 12,663 and 5,862

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Solution

The fourth proportional to 9,174, 12,663 and 5,862 is: 8,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174 : 12,663 = 5,862 : x
  2. Step 2: Convert to fraction form
    9,174/12,663 = 5,862/x
  3. Step 3: Cross multiply
    9,174x = 12,663 × 5,862
  4. Step 4: Simplify right side
    9,174x = 74,230,506
  5. Step 5: Solve for x
    x = 74,230,506/9,174
  6. Step 6: Final answer
    x = 8,091.40

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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.