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Finding the Fourth Proportional to 9,137.30, 13,705.95 and 2,211.80

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Solution

The fourth proportional to 9,137.30, 13,705.95 and 2,211.80 is: 3,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.30 : 13,705.95 = 2,211.80 : x
  2. Step 2: Convert to fraction form
    9,137.30/13,705.95 = 2,211.80/x
  3. Step 3: Cross multiply
    9,137.30x = 13,705.95 × 2,211.80
  4. Step 4: Simplify right side
    9,137.30x = 30,314,820.21
  5. Step 5: Solve for x
    x = 30,314,820.21/9,137.30
  6. Step 6: Final answer
    x = 3,317.70

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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.