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Finding the Fourth Proportional to 7,103.46, 9,803.50 and 4,119.14

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Solution

The fourth proportional to 7,103.46, 9,803.50 and 4,119.14 is: 5,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.46 : 9,803.50 = 4,119.14 : x
  2. Step 2: Convert to fraction form
    7,103.46/9,803.50 = 4,119.14/x
  3. Step 3: Cross multiply
    7,103.46x = 9,803.50 × 4,119.14
  4. Step 4: Simplify right side
    7,103.46x = 40,381,988.99
  5. Step 5: Solve for x
    x = 40,381,988.99/7,103.46
  6. Step 6: Final answer
    x = 5,684.83

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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.