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Finding the Fourth Proportional to 9,402.30, 12,975.26 and 5,865.57

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Solution

The fourth proportional to 9,402.30, 12,975.26 and 5,865.57 is: 8,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.30 : 12,975.26 = 5,865.57 : x
  2. Step 2: Convert to fraction form
    9,402.30/12,975.26 = 5,865.57/x
  3. Step 3: Cross multiply
    9,402.30x = 12,975.26 × 5,865.57
  4. Step 4: Simplify right side
    9,402.30x = 76,107,266.47
  5. Step 5: Solve for x
    x = 76,107,266.47/9,402.30
  6. Step 6: Final answer
    x = 8,094.54

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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.