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Finding the Fourth Proportional to 6,825.70, 9,419.28 and 4,173.10

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Solution

The fourth proportional to 6,825.70, 9,419.28 and 4,173.10 is: 5,758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.70 : 9,419.28 = 4,173.10 : x
  2. Step 2: Convert to fraction form
    6,825.70/9,419.28 = 4,173.10/x
  3. Step 3: Cross multiply
    6,825.70x = 9,419.28 × 4,173.10
  4. Step 4: Simplify right side
    6,825.70x = 39,307,597.37
  5. Step 5: Solve for x
    x = 39,307,597.37/6,825.70
  6. Step 6: Final answer
    x = 5,758.76

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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.