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Finding the Fourth Proportional to 9,570.96, 13,208.20 and 5,794.81

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Solution

The fourth proportional to 9,570.96, 13,208.20 and 5,794.81 is: 7,997.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.96 : 13,208.20 = 5,794.81 : x
  2. Step 2: Convert to fraction form
    9,570.96/13,208.20 = 5,794.81/x
  3. Step 3: Cross multiply
    9,570.96x = 13,208.20 × 5,794.81
  4. Step 4: Simplify right side
    9,570.96x = 76,538,961.93
  5. Step 5: Solve for x
    x = 76,538,961.93/9,570.96
  6. Step 6: Final answer
    x = 7,997.00

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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.