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Finding the Fourth Proportional to 9,164.97, 13,762.49 and 8,697.51

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Solution

The fourth proportional to 9,164.97, 13,762.49 and 8,697.51 is: 13,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.97 : 13,762.49 = 8,697.51 : x
  2. Step 2: Convert to fraction form
    9,164.97/13,762.49 = 8,697.51/x
  3. Step 3: Cross multiply
    9,164.97x = 13,762.49 × 8,697.51
  4. Step 4: Simplify right side
    9,164.97x = 119,699,350.91
  5. Step 5: Solve for x
    x = 119,699,350.91/9,164.97
  6. Step 6: Final answer
    x = 13,060.53

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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.