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Finding the Fourth Proportional to 9,342.16, 14,003.16 and 3,793.84

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Solution

The fourth proportional to 9,342.16, 14,003.16 and 3,793.84 is: 5,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.16 : 14,003.16 = 3,793.84 : x
  2. Step 2: Convert to fraction form
    9,342.16/14,003.16 = 3,793.84/x
  3. Step 3: Cross multiply
    9,342.16x = 14,003.16 × 3,793.84
  4. Step 4: Simplify right side
    9,342.16x = 53,125,748.53
  5. Step 5: Solve for x
    x = 53,125,748.53/9,342.16
  6. Step 6: Final answer
    x = 5,686.67

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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.