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Finding the Fourth Proportional to 9,336.69, 14,009.17 and 4,893.30

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Solution

The fourth proportional to 9,336.69, 14,009.17 and 4,893.30 is: 7,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.69 : 14,009.17 = 4,893.30 : x
  2. Step 2: Convert to fraction form
    9,336.69/14,009.17 = 4,893.30/x
  3. Step 3: Cross multiply
    9,336.69x = 14,009.17 × 4,893.30
  4. Step 4: Simplify right side
    9,336.69x = 68,551,078.31
  5. Step 5: Solve for x
    x = 68,551,078.31/9,336.69
  6. Step 6: Final answer
    x = 7,342.12

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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.