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Finding the Fourth Proportional to 9,530.33, 14,295.40 and 9,295.03

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Solution

The fourth proportional to 9,530.33, 14,295.40 and 9,295.03 is: 13,942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.33 : 14,295.40 = 9,295.03 : x
  2. Step 2: Convert to fraction form
    9,530.33/14,295.40 = 9,295.03/x
  3. Step 3: Cross multiply
    9,530.33x = 14,295.40 × 9,295.03
  4. Step 4: Simplify right side
    9,530.33x = 132,876,112.89
  5. Step 5: Solve for x
    x = 132,876,112.89/9,530.33
  6. Step 6: Final answer
    x = 13,942.44

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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.