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Finding the Fourth Proportional to 6,456.84, 8,909.34 and 3,803.28

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Solution

The fourth proportional to 6,456.84, 8,909.34 and 3,803.28 is: 5,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.84 : 8,909.34 = 3,803.28 : x
  2. Step 2: Convert to fraction form
    6,456.84/8,909.34 = 3,803.28/x
  3. Step 3: Cross multiply
    6,456.84x = 8,909.34 × 3,803.28
  4. Step 4: Simplify right side
    6,456.84x = 33,884,714.64
  5. Step 5: Solve for x
    x = 33,884,714.64/6,456.84
  6. Step 6: Final answer
    x = 5,247.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.