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Finding the Fourth Proportional to 6,289.47, 9,435.60 and 2,129.13

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Solution

The fourth proportional to 6,289.47, 9,435.60 and 2,129.13 is: 3,194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.47 : 9,435.60 = 2,129.13 : x
  2. Step 2: Convert to fraction form
    6,289.47/9,435.60 = 2,129.13/x
  3. Step 3: Cross multiply
    6,289.47x = 9,435.60 × 2,129.13
  4. Step 4: Simplify right side
    6,289.47x = 20,089,619.03
  5. Step 5: Solve for x
    x = 20,089,619.03/6,289.47
  6. Step 6: Final answer
    x = 3,194.17

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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.