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Finding the Fourth Proportional to 9,907.54, 14,863.25 and 3,667.60

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Solution

The fourth proportional to 9,907.54, 14,863.25 and 3,667.60 is: 5,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.54 : 14,863.25 = 3,667.60 : x
  2. Step 2: Convert to fraction form
    9,907.54/14,863.25 = 3,667.60/x
  3. Step 3: Cross multiply
    9,907.54x = 14,863.25 × 3,667.60
  4. Step 4: Simplify right side
    9,907.54x = 54,512,462.82
  5. Step 5: Solve for x
    x = 54,512,462.82/9,907.54
  6. Step 6: Final answer
    x = 5,502.12

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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.