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Finding the Fourth Proportional to 9,916.15, 14,873.79 and 3,342.31

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Solution

The fourth proportional to 9,916.15, 14,873.79 and 3,342.31 is: 5,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.15 : 14,873.79 = 3,342.31 : x
  2. Step 2: Convert to fraction form
    9,916.15/14,873.79 = 3,342.31/x
  3. Step 3: Cross multiply
    9,916.15x = 14,873.79 × 3,342.31
  4. Step 4: Simplify right side
    9,916.15x = 49,712,817.05
  5. Step 5: Solve for x
    x = 49,712,817.05/9,916.15
  6. Step 6: Final answer
    x = 5,013.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.