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Finding the Fourth Proportional to 9,673.36, 14,506.92 and 3,097.98

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Solution

The fourth proportional to 9,673.36, 14,506.92 and 3,097.98 is: 4,645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.36 : 14,506.92 = 3,097.98 : x
  2. Step 2: Convert to fraction form
    9,673.36/14,506.92 = 3,097.98/x
  3. Step 3: Cross multiply
    9,673.36x = 14,506.92 × 3,097.98
  4. Step 4: Simplify right side
    9,673.36x = 44,942,148.02
  5. Step 5: Solve for x
    x = 44,942,148.02/9,673.36
  6. Step 6: Final answer
    x = 4,645.97

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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.