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Finding the Fourth Proportional to 9,783.96, 14,639.52 and 5,837.33

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Solution

The fourth proportional to 9,783.96, 14,639.52 and 5,837.33 is: 8,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.96 : 14,639.52 = 5,837.33 : x
  2. Step 2: Convert to fraction form
    9,783.96/14,639.52 = 5,837.33/x
  3. Step 3: Cross multiply
    9,783.96x = 14,639.52 × 5,837.33
  4. Step 4: Simplify right side
    9,783.96x = 85,455,636.08
  5. Step 5: Solve for x
    x = 85,455,636.08/9,783.96
  6. Step 6: Final answer
    x = 8,734.26

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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.