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Finding the Fourth Proportional to 7,234.64, 9,984.84 and 4,754.96

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Solution

The fourth proportional to 7,234.64, 9,984.84 and 4,754.96 is: 6,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.64 : 9,984.84 = 4,754.96 : x
  2. Step 2: Convert to fraction form
    7,234.64/9,984.84 = 4,754.96/x
  3. Step 3: Cross multiply
    7,234.64x = 9,984.84 × 4,754.96
  4. Step 4: Simplify right side
    7,234.64x = 47,477,514.81
  5. Step 5: Solve for x
    x = 47,477,514.81/7,234.64
  6. Step 6: Final answer
    x = 6,562.53

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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.