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Finding the Fourth Proportional to 6,886.08, 9,486.72 and 4,786.56

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Solution

The fourth proportional to 6,886.08, 9,486.72 and 4,786.56 is: 6,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.08 : 9,486.72 = 4,786.56 : x
  2. Step 2: Convert to fraction form
    6,886.08/9,486.72 = 4,786.56/x
  3. Step 3: Cross multiply
    6,886.08x = 9,486.72 × 4,786.56
  4. Step 4: Simplify right side
    6,886.08x = 45,408,754.48
  5. Step 5: Solve for x
    x = 45,408,754.48/6,886.08
  6. Step 6: Final answer
    x = 6,594.28

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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.