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Finding the Fourth Proportional to 9,137.84, 13,708.44 and 2,899.44

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Solution

The fourth proportional to 9,137.84, 13,708.44 and 2,899.44 is: 4,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.84 : 13,708.44 = 2,899.44 : x
  2. Step 2: Convert to fraction form
    9,137.84/13,708.44 = 2,899.44/x
  3. Step 3: Cross multiply
    9,137.84x = 13,708.44 × 2,899.44
  4. Step 4: Simplify right side
    9,137.84x = 39,746,799.27
  5. Step 5: Solve for x
    x = 39,746,799.27/9,137.84
  6. Step 6: Final answer
    x = 4,349.70

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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.