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Finding the Fourth Proportional to 9,638.05, 14,455.07 and 3,712.90

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Solution

The fourth proportional to 9,638.05, 14,455.07 and 3,712.90 is: 5,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.05 : 14,455.07 = 3,712.90 : x
  2. Step 2: Convert to fraction form
    9,638.05/14,455.07 = 3,712.90/x
  3. Step 3: Cross multiply
    9,638.05x = 14,455.07 × 3,712.90
  4. Step 4: Simplify right side
    9,638.05x = 53,670,164.63
  5. Step 5: Solve for x
    x = 53,670,164.63/9,638.05
  6. Step 6: Final answer
    x = 5,568.57

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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.