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Finding the Fourth Proportional to 9,840.42, 13,574.97 and 5,860.26

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Solution

The fourth proportional to 9,840.42, 13,574.97 and 5,860.26 is: 8,084.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.42 : 13,574.97 = 5,860.26 : x
  2. Step 2: Convert to fraction form
    9,840.42/13,574.97 = 5,860.26/x
  3. Step 3: Cross multiply
    9,840.42x = 13,574.97 × 5,860.26
  4. Step 4: Simplify right side
    9,840.42x = 79,552,853.69
  5. Step 5: Solve for x
    x = 79,552,853.69/9,840.42
  6. Step 6: Final answer
    x = 8,084.29

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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.