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Finding the Fourth Proportional to 9,821.50, 13,550.25 and 5,572.06

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Solution

The fourth proportional to 9,821.50, 13,550.25 and 5,572.06 is: 7,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.50 : 13,550.25 = 5,572.06 : x
  2. Step 2: Convert to fraction form
    9,821.50/13,550.25 = 5,572.06/x
  3. Step 3: Cross multiply
    9,821.50x = 13,550.25 × 5,572.06
  4. Step 4: Simplify right side
    9,821.50x = 75,502,806.02
  5. Step 5: Solve for x
    x = 75,502,806.02/9,821.50
  6. Step 6: Final answer
    x = 7,687.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.