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Finding the Fourth Proportional to 9,419.47, 14,129.21 and 6,838.81

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Solution

The fourth proportional to 9,419.47, 14,129.21 and 6,838.81 is: 10,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.47 : 14,129.21 = 6,838.81 : x
  2. Step 2: Convert to fraction form
    9,419.47/14,129.21 = 6,838.81/x
  3. Step 3: Cross multiply
    9,419.47x = 14,129.21 × 6,838.81
  4. Step 4: Simplify right side
    9,419.47x = 96,626,982.64
  5. Step 5: Solve for x
    x = 96,626,982.64/9,419.47
  6. Step 6: Final answer
    x = 10,258.22

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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.