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Finding the Fourth Proportional to 9,217.50, 13,828.50 and 3,061.50

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Solution

The fourth proportional to 9,217.50, 13,828.50 and 3,061.50 is: 4,593.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.50 : 13,828.50 = 3,061.50 : x
  2. Step 2: Convert to fraction form
    9,217.50/13,828.50 = 3,061.50/x
  3. Step 3: Cross multiply
    9,217.50x = 13,828.50 × 3,061.50
  4. Step 4: Simplify right side
    9,217.50x = 42,335,952.75
  5. Step 5: Solve for x
    x = 42,335,952.75/9,217.50
  6. Step 6: Final answer
    x = 4,593.00

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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.