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Finding the Fourth Proportional to 9,703.96, 14,555.94 and 7,747.00

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Solution

The fourth proportional to 9,703.96, 14,555.94 and 7,747.00 is: 11,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.96 : 14,555.94 = 7,747.00 : x
  2. Step 2: Convert to fraction form
    9,703.96/14,555.94 = 7,747.00/x
  3. Step 3: Cross multiply
    9,703.96x = 14,555.94 × 7,747.00
  4. Step 4: Simplify right side
    9,703.96x = 112,764,755.67
  5. Step 5: Solve for x
    x = 112,764,755.67/9,703.96
  6. Step 6: Final answer
    x = 11,620.49

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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.