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Finding the Fourth Proportional to 7,063.17, 9,743.67 and 4,677.45

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Solution

The fourth proportional to 7,063.17, 9,743.67 and 4,677.45 is: 6,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063.17 : 9,743.67 = 4,677.45 : x
  2. Step 2: Convert to fraction form
    7,063.17/9,743.67 = 4,677.45/x
  3. Step 3: Cross multiply
    7,063.17x = 9,743.67 × 4,677.45
  4. Step 4: Simplify right side
    7,063.17x = 45,575,529.24
  5. Step 5: Solve for x
    x = 45,575,529.24/7,063.17
  6. Step 6: Final answer
    x = 6,452.56

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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.