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Finding the Fourth Proportional to 9,398.63, 12,967.17 and 5,419.21

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Solution

The fourth proportional to 9,398.63, 12,967.17 and 5,419.21 is: 7,476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.63 : 12,967.17 = 5,419.21 : x
  2. Step 2: Convert to fraction form
    9,398.63/12,967.17 = 5,419.21/x
  3. Step 3: Cross multiply
    9,398.63x = 12,967.17 × 5,419.21
  4. Step 4: Simplify right side
    9,398.63x = 70,271,817.34
  5. Step 5: Solve for x
    x = 70,271,817.34/9,398.63
  6. Step 6: Final answer
    x = 7,476.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.