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Finding the Fourth Proportional to 6,969.14, 10,459.07 and 4,049.49

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Solution

The fourth proportional to 6,969.14, 10,459.07 and 4,049.49 is: 6,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.14 : 10,459.07 = 4,049.49 : x
  2. Step 2: Convert to fraction form
    6,969.14/10,459.07 = 4,049.49/x
  3. Step 3: Cross multiply
    6,969.14x = 10,459.07 × 4,049.49
  4. Step 4: Simplify right side
    6,969.14x = 42,353,879.13
  5. Step 5: Solve for x
    x = 42,353,879.13/6,969.14
  6. Step 6: Final answer
    x = 6,077.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.