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Finding the Fourth Proportional to 9,570.54, 13,207.50 and 5,793.66

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Solution

The fourth proportional to 9,570.54, 13,207.50 and 5,793.66 is: 7,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.54 : 13,207.50 = 5,793.66 : x
  2. Step 2: Convert to fraction form
    9,570.54/13,207.50 = 5,793.66/x
  3. Step 3: Cross multiply
    9,570.54x = 13,207.50 × 5,793.66
  4. Step 4: Simplify right side
    9,570.54x = 76,519,764.45
  5. Step 5: Solve for x
    x = 76,519,764.45/9,570.54
  6. Step 6: Final answer
    x = 7,995.34

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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.