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Finding the Fourth Proportional to 9,637.75, 13,300.78 and 5,860.22

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Solution

The fourth proportional to 9,637.75, 13,300.78 and 5,860.22 is: 8,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.75 : 13,300.78 = 5,860.22 : x
  2. Step 2: Convert to fraction form
    9,637.75/13,300.78 = 5,860.22/x
  3. Step 3: Cross multiply
    9,637.75x = 13,300.78 × 5,860.22
  4. Step 4: Simplify right side
    9,637.75x = 77,945,443.29
  5. Step 5: Solve for x
    x = 77,945,443.29/9,637.75
  6. Step 6: Final answer
    x = 8,087.51

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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.