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Finding the Fourth Proportional to 6,852.52, 9,456.12 and 4,019.50

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Solution

The fourth proportional to 6,852.52, 9,456.12 and 4,019.50 is: 5,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.52 : 9,456.12 = 4,019.50 : x
  2. Step 2: Convert to fraction form
    6,852.52/9,456.12 = 4,019.50/x
  3. Step 3: Cross multiply
    6,852.52x = 9,456.12 × 4,019.50
  4. Step 4: Simplify right side
    6,852.52x = 38,008,874.34
  5. Step 5: Solve for x
    x = 38,008,874.34/6,852.52
  6. Step 6: Final answer
    x = 5,546.70

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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.