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Finding the Fourth Proportional to 6,148.35, 9,222.53 and 3,516.66

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Solution

The fourth proportional to 6,148.35, 9,222.53 and 3,516.66 is: 5,274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.35 : 9,222.53 = 3,516.66 : x
  2. Step 2: Convert to fraction form
    6,148.35/9,222.53 = 3,516.66/x
  3. Step 3: Cross multiply
    6,148.35x = 9,222.53 × 3,516.66
  4. Step 4: Simplify right side
    6,148.35x = 32,432,484.77
  5. Step 5: Solve for x
    x = 32,432,484.77/6,148.35
  6. Step 6: Final answer
    x = 5,274.99

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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.