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Finding the Fourth Proportional to 9,570.54, 13,208.07 and 5,379.42

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Solution

The fourth proportional to 9,570.54, 13,208.07 and 5,379.42 is: 7,424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.54 : 13,208.07 = 5,379.42 : x
  2. Step 2: Convert to fraction form
    9,570.54/13,208.07 = 5,379.42/x
  3. Step 3: Cross multiply
    9,570.54x = 13,208.07 × 5,379.42
  4. Step 4: Simplify right side
    9,570.54x = 71,051,755.92
  5. Step 5: Solve for x
    x = 71,051,755.92/9,570.54
  6. Step 6: Final answer
    x = 7,424.01

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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.