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Finding the Fourth Proportional to 6,124.72, 9,184.92 and 2,837.20

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Solution

The fourth proportional to 6,124.72, 9,184.92 and 2,837.20 is: 4,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.72 : 9,184.92 = 2,837.20 : x
  2. Step 2: Convert to fraction form
    6,124.72/9,184.92 = 2,837.20/x
  3. Step 3: Cross multiply
    6,124.72x = 9,184.92 × 2,837.20
  4. Step 4: Simplify right side
    6,124.72x = 26,059,455.02
  5. Step 5: Solve for x
    x = 26,059,455.02/6,124.72
  6. Step 6: Final answer
    x = 4,254.80

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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.