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Finding the Fourth Proportional to 7,138.17, 9,849.53 and 4,483.70

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Solution

The fourth proportional to 7,138.17, 9,849.53 and 4,483.70 is: 6,186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.17 : 9,849.53 = 4,483.70 : x
  2. Step 2: Convert to fraction form
    7,138.17/9,849.53 = 4,483.70/x
  3. Step 3: Cross multiply
    7,138.17x = 9,849.53 × 4,483.70
  4. Step 4: Simplify right side
    7,138.17x = 44,162,265.99
  5. Step 5: Solve for x
    x = 44,162,265.99/7,138.17
  6. Step 6: Final answer
    x = 6,186.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.