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Finding the Fourth Proportional to 9,916.33, 14,878.39 and 4,365.78

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Solution

The fourth proportional to 9,916.33, 14,878.39 and 4,365.78 is: 6,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.33 : 14,878.39 = 4,365.78 : x
  2. Step 2: Convert to fraction form
    9,916.33/14,878.39 = 4,365.78/x
  3. Step 3: Cross multiply
    9,916.33x = 14,878.39 × 4,365.78
  4. Step 4: Simplify right side
    9,916.33x = 64,955,761.12
  5. Step 5: Solve for x
    x = 64,955,761.12/9,916.33
  6. Step 6: Final answer
    x = 6,550.38

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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.