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Finding the Fourth Proportional to 9,667.47, 13,342.18 and 5,419.23

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Solution

The fourth proportional to 9,667.47, 13,342.18 and 5,419.23 is: 7,479.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.47 : 13,342.18 = 5,419.23 : x
  2. Step 2: Convert to fraction form
    9,667.47/13,342.18 = 5,419.23/x
  3. Step 3: Cross multiply
    9,667.47x = 13,342.18 × 5,419.23
  4. Step 4: Simplify right side
    9,667.47x = 72,304,342.12
  5. Step 5: Solve for x
    x = 72,304,342.12/9,667.47
  6. Step 6: Final answer
    x = 7,479.14

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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.