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Finding the Fourth Proportional to 9,241.58, 13,859.12 and 4,310.30

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Solution

The fourth proportional to 9,241.58, 13,859.12 and 4,310.30 is: 6,463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.58 : 13,859.12 = 4,310.30 : x
  2. Step 2: Convert to fraction form
    9,241.58/13,859.12 = 4,310.30/x
  3. Step 3: Cross multiply
    9,241.58x = 13,859.12 × 4,310.30
  4. Step 4: Simplify right side
    9,241.58x = 59,736,964.94
  5. Step 5: Solve for x
    x = 59,736,964.94/9,241.58
  6. Step 6: Final answer
    x = 6,463.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.