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Finding the Fourth Proportional to 9,151.89, 12,632.00 and 5,796.33

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Solution

The fourth proportional to 9,151.89, 12,632.00 and 5,796.33 is: 8,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.89 : 12,632.00 = 5,796.33 : x
  2. Step 2: Convert to fraction form
    9,151.89/12,632.00 = 5,796.33/x
  3. Step 3: Cross multiply
    9,151.89x = 12,632.00 × 5,796.33
  4. Step 4: Simplify right side
    9,151.89x = 73,219,211.58
  5. Step 5: Solve for x
    x = 73,219,211.58/9,151.89
  6. Step 6: Final answer
    x = 8,000.45

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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.