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Finding the Fourth Proportional to 7,063.62, 9,749.70 and 4,409.43

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Solution

The fourth proportional to 7,063.62, 9,749.70 and 4,409.43 is: 6,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063.62 : 9,749.70 = 4,409.43 : x
  2. Step 2: Convert to fraction form
    7,063.62/9,749.70 = 4,409.43/x
  3. Step 3: Cross multiply
    7,063.62x = 9,749.70 × 4,409.43
  4. Step 4: Simplify right side
    7,063.62x = 42,990,619.67
  5. Step 5: Solve for x
    x = 42,990,619.67/7,063.62
  6. Step 6: Final answer
    x = 6,086.20

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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.