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Finding the Fourth Proportional to 9,497.96, 14,242.59 and 3,947.99

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Solution

The fourth proportional to 9,497.96, 14,242.59 and 3,947.99 is: 5,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.96 : 14,242.59 = 3,947.99 : x
  2. Step 2: Convert to fraction form
    9,497.96/14,242.59 = 3,947.99/x
  3. Step 3: Cross multiply
    9,497.96x = 14,242.59 × 3,947.99
  4. Step 4: Simplify right side
    9,497.96x = 56,229,531.68
  5. Step 5: Solve for x
    x = 56,229,531.68/9,497.96
  6. Step 6: Final answer
    x = 5,920.17

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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.