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Finding the Fourth Proportional to 9,184.56, 13,768.56 and 3,337.04

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Solution

The fourth proportional to 9,184.56, 13,768.56 and 3,337.04 is: 5,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.56 : 13,768.56 = 3,337.04 : x
  2. Step 2: Convert to fraction form
    9,184.56/13,768.56 = 3,337.04/x
  3. Step 3: Cross multiply
    9,184.56x = 13,768.56 × 3,337.04
  4. Step 4: Simplify right side
    9,184.56x = 45,946,235.46
  5. Step 5: Solve for x
    x = 45,946,235.46/9,184.56
  6. Step 6: Final answer
    x = 5,002.55

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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.