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Finding the Fourth Proportional to 6,855.41, 9,460.64 and 4,204.28

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Solution

The fourth proportional to 6,855.41, 9,460.64 and 4,204.28 is: 5,802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.41 : 9,460.64 = 4,204.28 : x
  2. Step 2: Convert to fraction form
    6,855.41/9,460.64 = 4,204.28/x
  3. Step 3: Cross multiply
    6,855.41x = 9,460.64 × 4,204.28
  4. Step 4: Simplify right side
    6,855.41x = 39,775,162.46
  5. Step 5: Solve for x
    x = 39,775,162.46/6,855.41
  6. Step 6: Final answer
    x = 5,802.01

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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.