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Finding the Fourth Proportional to 9,137.68, 13,706.78 and 2,897.72

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Solution

The fourth proportional to 9,137.68, 13,706.78 and 2,897.72 is: 4,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.68 : 13,706.78 = 2,897.72 : x
  2. Step 2: Convert to fraction form
    9,137.68/13,706.78 = 2,897.72/x
  3. Step 3: Cross multiply
    9,137.68x = 13,706.78 × 2,897.72
  4. Step 4: Simplify right side
    9,137.68x = 39,718,410.54
  5. Step 5: Solve for x
    x = 39,718,410.54/9,137.68
  6. Step 6: Final answer
    x = 4,346.66

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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.