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Finding the Fourth Proportional to 9,916.50, 14,874.30 and 3,342.66

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Solution

The fourth proportional to 9,916.50, 14,874.30 and 3,342.66 is: 5,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.50 : 14,874.30 = 3,342.66 : x
  2. Step 2: Convert to fraction form
    9,916.50/14,874.30 = 3,342.66/x
  3. Step 3: Cross multiply
    9,916.50x = 14,874.30 × 3,342.66
  4. Step 4: Simplify right side
    9,916.50x = 49,719,727.64
  5. Step 5: Solve for x
    x = 49,719,727.64/9,916.50
  6. Step 6: Final answer
    x = 5,013.84

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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.