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Finding the Fourth Proportional to 9,913.26, 14,863.24 and 5,228.32

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Solution

The fourth proportional to 9,913.26, 14,863.24 and 5,228.32 is: 7,838.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.26 : 14,863.24 = 5,228.32 : x
  2. Step 2: Convert to fraction form
    9,913.26/14,863.24 = 5,228.32/x
  3. Step 3: Cross multiply
    9,913.26x = 14,863.24 × 5,228.32
  4. Step 4: Simplify right side
    9,913.26x = 77,709,774.96
  5. Step 5: Solve for x
    x = 77,709,774.96/9,913.26
  6. Step 6: Final answer
    x = 7,838.97

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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.