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Finding the Fourth Proportional to 9,137.40, 13,725.12 and 7,384.38

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Solution

The fourth proportional to 9,137.40, 13,725.12 and 7,384.38 is: 11,091.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.40 : 13,725.12 = 7,384.38 : x
  2. Step 2: Convert to fraction form
    9,137.40/13,725.12 = 7,384.38/x
  3. Step 3: Cross multiply
    9,137.40x = 13,725.12 × 7,384.38
  4. Step 4: Simplify right side
    9,137.40x = 101,351,501.63
  5. Step 5: Solve for x
    x = 101,351,501.63/9,137.40
  6. Step 6: Final answer
    x = 11,091.94

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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.