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Finding the Fourth Proportional to 6,859.89, 9,464.47 and 3,875.17

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Solution

The fourth proportional to 6,859.89, 9,464.47 and 3,875.17 is: 5,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.89 : 9,464.47 = 3,875.17 : x
  2. Step 2: Convert to fraction form
    6,859.89/9,464.47 = 3,875.17/x
  3. Step 3: Cross multiply
    6,859.89x = 9,464.47 × 3,875.17
  4. Step 4: Simplify right side
    6,859.89x = 36,676,398.89
  5. Step 5: Solve for x
    x = 36,676,398.89/6,859.89
  6. Step 6: Final answer
    x = 5,346.50

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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.