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Finding the Fourth Proportional to 9,606.72, 14,406.82 and 4,673.22

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Solution

The fourth proportional to 9,606.72, 14,406.82 and 4,673.22 is: 7,008.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.72 : 14,406.82 = 4,673.22 : x
  2. Step 2: Convert to fraction form
    9,606.72/14,406.82 = 4,673.22/x
  3. Step 3: Cross multiply
    9,606.72x = 14,406.82 × 4,673.22
  4. Step 4: Simplify right side
    9,606.72x = 67,326,239.36
  5. Step 5: Solve for x
    x = 67,326,239.36/9,606.72
  6. Step 6: Final answer
    x = 7,008.24

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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.