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Finding the Fourth Proportional to 9,654.10, 14,489.35 and 3,814.81

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Solution

The fourth proportional to 9,654.10, 14,489.35 and 3,814.81 is: 5,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.10 : 14,489.35 = 3,814.81 : x
  2. Step 2: Convert to fraction form
    9,654.10/14,489.35 = 3,814.81/x
  3. Step 3: Cross multiply
    9,654.10x = 14,489.35 × 3,814.81
  4. Step 4: Simplify right side
    9,654.10x = 55,274,071.51
  5. Step 5: Solve for x
    x = 55,274,071.51/9,654.10
  6. Step 6: Final answer
    x = 5,725.45

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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.