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Finding the Fourth Proportional to 9,091, 13,630.90 and 3,537.87

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Solution

The fourth proportional to 9,091, 13,630.90 and 3,537.87 is: 5,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091 : 13,630.90 = 3,537.87 : x
  2. Step 2: Convert to fraction form
    9,091/13,630.90 = 3,537.87/x
  3. Step 3: Cross multiply
    9,091x = 13,630.90 × 3,537.87
  4. Step 4: Simplify right side
    9,091x = 48,224,352.18
  5. Step 5: Solve for x
    x = 48,224,352.18/9,091
  6. Step 6: Final answer
    x = 5,304.63

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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.