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Finding the Fourth Proportional to 9,705.96, 14,561.67 and 3,132.68

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Solution

The fourth proportional to 9,705.96, 14,561.67 and 3,132.68 is: 4,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.96 : 14,561.67 = 3,132.68 : x
  2. Step 2: Convert to fraction form
    9,705.96/14,561.67 = 3,132.68/x
  3. Step 3: Cross multiply
    9,705.96x = 14,561.67 × 3,132.68
  4. Step 4: Simplify right side
    9,705.96x = 45,616,991.31
  5. Step 5: Solve for x
    x = 45,616,991.31/9,705.96
  6. Step 6: Final answer
    x = 4,699.89

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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.