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Finding the Fourth Proportional to 6,234.90, 9,353.40 and 1,852.80

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Solution

The fourth proportional to 6,234.90, 9,353.40 and 1,852.80 is: 2,779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.90 : 9,353.40 = 1,852.80 : x
  2. Step 2: Convert to fraction form
    6,234.90/9,353.40 = 1,852.80/x
  3. Step 3: Cross multiply
    6,234.90x = 9,353.40 × 1,852.80
  4. Step 4: Simplify right side
    6,234.90x = 17,329,979.52
  5. Step 5: Solve for x
    x = 17,329,979.52/6,234.90
  6. Step 6: Final answer
    x = 2,779.51

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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.