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Finding the Fourth Proportional to 9,916.28, 14,872.83 and 2,894.65

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Solution

The fourth proportional to 9,916.28, 14,872.83 and 2,894.65 is: 4,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.28 : 14,872.83 = 2,894.65 : x
  2. Step 2: Convert to fraction form
    9,916.28/14,872.83 = 2,894.65/x
  3. Step 3: Cross multiply
    9,916.28x = 14,872.83 × 2,894.65
  4. Step 4: Simplify right side
    9,916.28x = 43,051,548.52
  5. Step 5: Solve for x
    x = 43,051,548.52/9,916.28
  6. Step 6: Final answer
    x = 4,341.50

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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.