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Finding the Fourth Proportional to 8,909.76, 13,364.37 and 4,233.14

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Solution

The fourth proportional to 8,909.76, 13,364.37 and 4,233.14 is: 6,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.76 : 13,364.37 = 4,233.14 : x
  2. Step 2: Convert to fraction form
    8,909.76/13,364.37 = 4,233.14/x
  3. Step 3: Cross multiply
    8,909.76x = 13,364.37 × 4,233.14
  4. Step 4: Simplify right side
    8,909.76x = 56,573,232.52
  5. Step 5: Solve for x
    x = 56,573,232.52/8,909.76
  6. Step 6: Final answer
    x = 6,349.58

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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.