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Finding the Fourth Proportional to 9,237, 13,851.40 and 2,661.68

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Solution

The fourth proportional to 9,237, 13,851.40 and 2,661.68 is: 3,991.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237 : 13,851.40 = 2,661.68 : x
  2. Step 2: Convert to fraction form
    9,237/13,851.40 = 2,661.68/x
  3. Step 3: Cross multiply
    9,237x = 13,851.40 × 2,661.68
  4. Step 4: Simplify right side
    9,237x = 36,867,994.35
  5. Step 5: Solve for x
    x = 36,867,994.35/9,237
  6. Step 6: Final answer
    x = 3,991.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.