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Finding the Fourth Proportional to 9,137.90, 13,698.57 and 3,290.38

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Solution

The fourth proportional to 9,137.90, 13,698.57 and 3,290.38 is: 4,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.90 : 13,698.57 = 3,290.38 : x
  2. Step 2: Convert to fraction form
    9,137.90/13,698.57 = 3,290.38/x
  3. Step 3: Cross multiply
    9,137.90x = 13,698.57 × 3,290.38
  4. Step 4: Simplify right side
    9,137.90x = 45,073,432.26
  5. Step 5: Solve for x
    x = 45,073,432.26/9,137.90
  6. Step 6: Final answer
    x = 4,932.58

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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.