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Finding the Fourth Proportional to 7,104.14, 9,803.12 and 4,119.02

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Solution

The fourth proportional to 7,104.14, 9,803.12 and 4,119.02 is: 5,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.14 : 9,803.12 = 4,119.02 : x
  2. Step 2: Convert to fraction form
    7,104.14/9,803.12 = 4,119.02/x
  3. Step 3: Cross multiply
    7,104.14x = 9,803.12 × 4,119.02
  4. Step 4: Simplify right side
    7,104.14x = 40,379,247.34
  5. Step 5: Solve for x
    x = 40,379,247.34/7,104.14
  6. Step 6: Final answer
    x = 5,683.90

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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.