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Finding the Fourth Proportional to 6,855.32, 9,460.44 and 4,024.64

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Solution

The fourth proportional to 6,855.32, 9,460.44 and 4,024.64 is: 5,554.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.32 : 9,460.44 = 4,024.64 : x
  2. Step 2: Convert to fraction form
    6,855.32/9,460.44 = 4,024.64/x
  3. Step 3: Cross multiply
    6,855.32x = 9,460.44 × 4,024.64
  4. Step 4: Simplify right side
    6,855.32x = 38,074,865.24
  5. Step 5: Solve for x
    x = 38,074,865.24/6,855.32
  6. Step 6: Final answer
    x = 5,554.06

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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.