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Finding the Fourth Proportional to 6,860.94, 9,468.30 and 4,209.84

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Solution

The fourth proportional to 6,860.94, 9,468.30 and 4,209.84 is: 5,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.94 : 9,468.30 = 4,209.84 : x
  2. Step 2: Convert to fraction form
    6,860.94/9,468.30 = 4,209.84/x
  3. Step 3: Cross multiply
    6,860.94x = 9,468.30 × 4,209.84
  4. Step 4: Simplify right side
    6,860.94x = 39,860,028.07
  5. Step 5: Solve for x
    x = 39,860,028.07/6,860.94
  6. Step 6: Final answer
    x = 5,809.70

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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.