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Finding the Fourth Proportional to 6,225.86, 9,336.47 and 2,065.10

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Solution

The fourth proportional to 6,225.86, 9,336.47 and 2,065.10 is: 3,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.86 : 9,336.47 = 2,065.10 : x
  2. Step 2: Convert to fraction form
    6,225.86/9,336.47 = 2,065.10/x
  3. Step 3: Cross multiply
    6,225.86x = 9,336.47 × 2,065.10
  4. Step 4: Simplify right side
    6,225.86x = 19,280,687.19
  5. Step 5: Solve for x
    x = 19,280,687.19/6,225.86
  6. Step 6: Final answer
    x = 3,096.87

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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.