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Finding the Fourth Proportional to 9,723.38, 13,419.88 and 7,361.42

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Solution

The fourth proportional to 9,723.38, 13,419.88 and 7,361.42 is: 10,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.38 : 13,419.88 = 7,361.42 : x
  2. Step 2: Convert to fraction form
    9,723.38/13,419.88 = 7,361.42/x
  3. Step 3: Cross multiply
    9,723.38x = 13,419.88 × 7,361.42
  4. Step 4: Simplify right side
    9,723.38x = 98,789,287.53
  5. Step 5: Solve for x
    x = 98,789,287.53/9,723.38
  6. Step 6: Final answer
    x = 10,159.98

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Why These Related Problems?

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