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Finding the Fourth Proportional to 9,746.44, 14,616.34 and 3,170.99

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Solution

The fourth proportional to 9,746.44, 14,616.34 and 3,170.99 is: 4,755.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.44 : 14,616.34 = 3,170.99 : x
  2. Step 2: Convert to fraction form
    9,746.44/14,616.34 = 3,170.99/x
  3. Step 3: Cross multiply
    9,746.44x = 14,616.34 × 3,170.99
  4. Step 4: Simplify right side
    9,746.44x = 46,348,267.98
  5. Step 5: Solve for x
    x = 46,348,267.98/9,746.44
  6. Step 6: Final answer
    x = 4,755.40

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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.