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Finding the Fourth Proportional to 9,707.54, 14,550.91 and 5,022.82

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Solution

The fourth proportional to 9,707.54, 14,550.91 and 5,022.82 is: 7,528.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.54 : 14,550.91 = 5,022.82 : x
  2. Step 2: Convert to fraction form
    9,707.54/14,550.91 = 5,022.82/x
  3. Step 3: Cross multiply
    9,707.54x = 14,550.91 × 5,022.82
  4. Step 4: Simplify right side
    9,707.54x = 73,086,607.40
  5. Step 5: Solve for x
    x = 73,086,607.40/9,707.54
  6. Step 6: Final answer
    x = 7,528.85

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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.