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Finding the Fourth Proportional to 6,858.19, 9,464.48 and 4,207.06

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Solution

The fourth proportional to 6,858.19, 9,464.48 and 4,207.06 is: 5,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.19 : 9,464.48 = 4,207.06 : x
  2. Step 2: Convert to fraction form
    6,858.19/9,464.48 = 4,207.06/x
  3. Step 3: Cross multiply
    6,858.19x = 9,464.48 × 4,207.06
  4. Step 4: Simplify right side
    6,858.19x = 39,817,635.23
  5. Step 5: Solve for x
    x = 39,817,635.23/6,858.19
  6. Step 6: Final answer
    x = 5,805.85

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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.