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Finding the Fourth Proportional to 6,234.54, 9,351.63 and 1,852.08

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Solution

The fourth proportional to 6,234.54, 9,351.63 and 1,852.08 is: 2,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.54 : 9,351.63 = 1,852.08 : x
  2. Step 2: Convert to fraction form
    6,234.54/9,351.63 = 1,852.08/x
  3. Step 3: Cross multiply
    6,234.54x = 9,351.63 × 1,852.08
  4. Step 4: Simplify right side
    6,234.54x = 17,319,966.89
  5. Step 5: Solve for x
    x = 17,319,966.89/6,234.54
  6. Step 6: Final answer
    x = 2,778.07

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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.