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Finding the Fourth Proportional to 6,225.86, 9,339.10 and 2,526.19

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Solution

The fourth proportional to 6,225.86, 9,339.10 and 2,526.19 is: 3,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.86 : 9,339.10 = 2,526.19 : x
  2. Step 2: Convert to fraction form
    6,225.86/9,339.10 = 2,526.19/x
  3. Step 3: Cross multiply
    6,225.86x = 9,339.10 × 2,526.19
  4. Step 4: Simplify right side
    6,225.86x = 23,592,311.37
  5. Step 5: Solve for x
    x = 23,592,311.37/6,225.86
  6. Step 6: Final answer
    x = 3,789.40

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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.