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Finding the Fourth Proportional to 6,336.96, 9,503.52 and 2,232

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Solution

The fourth proportional to 6,336.96, 9,503.52 and 2,232 is: 3,347.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.96 : 9,503.52 = 2,232 : x
  2. Step 2: Convert to fraction form
    6,336.96/9,503.52 = 2,232/x
  3. Step 3: Cross multiply
    6,336.96x = 9,503.52 × 2,232
  4. Step 4: Simplify right side
    6,336.96x = 21,211,856.64
  5. Step 5: Solve for x
    x = 21,211,856.64/6,336.96
  6. Step 6: Final answer
    x = 3,347.32

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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.