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Finding the Fourth Proportional to 9,916.24, 14,872.05 and 2,894.78

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Solution

The fourth proportional to 9,916.24, 14,872.05 and 2,894.78 is: 4,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.24 : 14,872.05 = 2,894.78 : x
  2. Step 2: Convert to fraction form
    9,916.24/14,872.05 = 2,894.78/x
  3. Step 3: Cross multiply
    9,916.24x = 14,872.05 × 2,894.78
  4. Step 4: Simplify right side
    9,916.24x = 43,051,312.90
  5. Step 5: Solve for x
    x = 43,051,312.90/9,916.24
  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.