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Finding the Fourth Proportional to 9,182.67, 13,774.91 and 2,941.11

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Solution

The fourth proportional to 9,182.67, 13,774.91 and 2,941.11 is: 4,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.67 : 13,774.91 = 2,941.11 : x
  2. Step 2: Convert to fraction form
    9,182.67/13,774.91 = 2,941.11/x
  3. Step 3: Cross multiply
    9,182.67x = 13,774.91 × 2,941.11
  4. Step 4: Simplify right side
    9,182.67x = 40,513,525.55
  5. Step 5: Solve for x
    x = 40,513,525.55/9,182.67
  6. Step 6: Final answer
    x = 4,411.96

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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.