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Finding the Fourth Proportional to 9,178, 13,767.04 and 3,706

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Solution

The fourth proportional to 9,178, 13,767.04 and 3,706 is: 5,559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178 : 13,767.04 = 3,706 : x
  2. Step 2: Convert to fraction form
    9,178/13,767.04 = 3,706/x
  3. Step 3: Cross multiply
    9,178x = 13,767.04 × 3,706
  4. Step 4: Simplify right side
    9,178x = 51,020,650.24
  5. Step 5: Solve for x
    x = 51,020,650.24/9,178
  6. Step 6: Final answer
    x = 5,559.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.