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Finding the Fourth Proportional to 9,141.24, 13,713.00 and 3,216.74

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Solution

The fourth proportional to 9,141.24, 13,713.00 and 3,216.74 is: 4,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.24 : 13,713.00 = 3,216.74 : x
  2. Step 2: Convert to fraction form
    9,141.24/13,713.00 = 3,216.74/x
  3. Step 3: Cross multiply
    9,141.24x = 13,713.00 × 3,216.74
  4. Step 4: Simplify right side
    9,141.24x = 44,111,074.99
  5. Step 5: Solve for x
    x = 44,111,074.99/9,141.24
  6. Step 6: Final answer
    x = 4,825.50

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Why These Related Problems?

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