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Finding the Fourth Proportional to 6,145.72, 9,225.12 and 2,861.98

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Solution

The fourth proportional to 6,145.72, 9,225.12 and 2,861.98 is: 4,296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.72 : 9,225.12 = 2,861.98 : x
  2. Step 2: Convert to fraction form
    6,145.72/9,225.12 = 2,861.98/x
  3. Step 3: Cross multiply
    6,145.72x = 9,225.12 × 2,861.98
  4. Step 4: Simplify right side
    6,145.72x = 26,402,108.94
  5. Step 5: Solve for x
    x = 26,402,108.94/6,145.72
  6. Step 6: Final answer
    x = 4,296.02

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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.