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Finding the Fourth Proportional to 9,698.14, 13,383.31 and 5,506.12

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Solution

The fourth proportional to 9,698.14, 13,383.31 and 5,506.12 is: 7,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.14 : 13,383.31 = 5,506.12 : x
  2. Step 2: Convert to fraction form
    9,698.14/13,383.31 = 5,506.12/x
  3. Step 3: Cross multiply
    9,698.14x = 13,383.31 × 5,506.12
  4. Step 4: Simplify right side
    9,698.14x = 73,690,016.41
  5. Step 5: Solve for x
    x = 73,690,016.41/9,698.14
  6. Step 6: Final answer
    x = 7,598.37

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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.