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Finding the Fourth Proportional to 9,747.40, 14,623.40 and 3,173.58

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Solution

The fourth proportional to 9,747.40, 14,623.40 and 3,173.58 is: 4,761.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.40 : 14,623.40 = 3,173.58 : x
  2. Step 2: Convert to fraction form
    9,747.40/14,623.40 = 3,173.58/x
  3. Step 3: Cross multiply
    9,747.40x = 14,623.40 × 3,173.58
  4. Step 4: Simplify right side
    9,747.40x = 46,408,529.77
  5. Step 5: Solve for x
    x = 46,408,529.77/9,747.40
  6. Step 6: Final answer
    x = 4,761.12

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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.