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Finding the Fourth Proportional to 9,341.74, 14,013.96 and 3,419.20

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Solution

The fourth proportional to 9,341.74, 14,013.96 and 3,419.20 is: 5,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.74 : 14,013.96 = 3,419.20 : x
  2. Step 2: Convert to fraction form
    9,341.74/14,013.96 = 3,419.20/x
  3. Step 3: Cross multiply
    9,341.74x = 14,013.96 × 3,419.20
  4. Step 4: Simplify right side
    9,341.74x = 47,916,532.03
  5. Step 5: Solve for x
    x = 47,916,532.03/9,341.74
  6. Step 6: Final answer
    x = 5,129.29

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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.