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Finding the Fourth Proportional to 9,657.68, 14,485.74 and 3,814.34

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Solution

The fourth proportional to 9,657.68, 14,485.74 and 3,814.34 is: 5,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.68 : 14,485.74 = 3,814.34 : x
  2. Step 2: Convert to fraction form
    9,657.68/14,485.74 = 3,814.34/x
  3. Step 3: Cross multiply
    9,657.68x = 14,485.74 × 3,814.34
  4. Step 4: Simplify right side
    9,657.68x = 55,253,537.51
  5. Step 5: Solve for x
    x = 55,253,537.51/9,657.68
  6. Step 6: Final answer
    x = 5,721.20

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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.