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Finding the Fourth Proportional to 9,341.81, 14,012.68 and 3,102.29

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Solution

The fourth proportional to 9,341.81, 14,012.68 and 3,102.29 is: 4,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.81 : 14,012.68 = 3,102.29 : x
  2. Step 2: Convert to fraction form
    9,341.81/14,012.68 = 3,102.29/x
  3. Step 3: Cross multiply
    9,341.81x = 14,012.68 × 3,102.29
  4. Step 4: Simplify right side
    9,341.81x = 43,471,397.04
  5. Step 5: Solve for x
    x = 43,471,397.04/9,341.81
  6. Step 6: Final answer
    x = 4,653.42

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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.