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Finding the Fourth Proportional to 6,858.91, 9,464.73 and 3,875

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Solution

The fourth proportional to 6,858.91, 9,464.73 and 3,875 is: 5,347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.91 : 9,464.73 = 3,875 : x
  2. Step 2: Convert to fraction form
    6,858.91/9,464.73 = 3,875/x
  3. Step 3: Cross multiply
    6,858.91x = 9,464.73 × 3,875
  4. Step 4: Simplify right side
    6,858.91x = 36,675,828.75
  5. Step 5: Solve for x
    x = 36,675,828.75/6,858.91
  6. Step 6: Final answer
    x = 5,347.18

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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.