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Finding the Fourth Proportional to 9,603.90, 14,406.81 and 3,446.46

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Solution

The fourth proportional to 9,603.90, 14,406.81 and 3,446.46 is: 5,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.90 : 14,406.81 = 3,446.46 : x
  2. Step 2: Convert to fraction form
    9,603.90/14,406.81 = 3,446.46/x
  3. Step 3: Cross multiply
    9,603.90x = 14,406.81 × 3,446.46
  4. Step 4: Simplify right side
    9,603.90x = 49,652,494.39
  5. Step 5: Solve for x
    x = 49,652,494.39/9,603.90
  6. Step 6: Final answer
    x = 5,170.03

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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.