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Finding the Fourth Proportional to 9,412.63, 14,121.29 and 2,838.94

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Solution

The fourth proportional to 9,412.63, 14,121.29 and 2,838.94 is: 4,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.63 : 14,121.29 = 2,838.94 : x
  2. Step 2: Convert to fraction form
    9,412.63/14,121.29 = 2,838.94/x
  3. Step 3: Cross multiply
    9,412.63x = 14,121.29 × 2,838.94
  4. Step 4: Simplify right side
    9,412.63x = 40,089,495.03
  5. Step 5: Solve for x
    x = 40,089,495.03/9,412.63
  6. Step 6: Final answer
    x = 4,259.12

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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.