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Finding the Fourth Proportional to 9,859.40, 14,791.68 and 4,313.24

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Solution

The fourth proportional to 9,859.40, 14,791.68 and 4,313.24 is: 6,470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.40 : 14,791.68 = 4,313.24 : x
  2. Step 2: Convert to fraction form
    9,859.40/14,791.68 = 4,313.24/x
  3. Step 3: Cross multiply
    9,859.40x = 14,791.68 × 4,313.24
  4. Step 4: Simplify right side
    9,859.40x = 63,800,065.84
  5. Step 5: Solve for x
    x = 63,800,065.84/9,859.40
  6. Step 6: Final answer
    x = 6,470.99

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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.