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Finding the Fourth Proportional to 9,705.48, 14,561.91 and 3,866.19

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Solution

The fourth proportional to 9,705.48, 14,561.91 and 3,866.19 is: 5,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.48 : 14,561.91 = 3,866.19 : x
  2. Step 2: Convert to fraction form
    9,705.48/14,561.91 = 3,866.19/x
  3. Step 3: Cross multiply
    9,705.48x = 14,561.91 × 3,866.19
  4. Step 4: Simplify right side
    9,705.48x = 56,299,110.82
  5. Step 5: Solve for x
    x = 56,299,110.82/9,705.48
  6. Step 6: Final answer
    x = 5,800.75

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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.