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Finding the Fourth Proportional to 9,669.57, 13,351.55 and 7,427.90

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Solution

The fourth proportional to 9,669.57, 13,351.55 and 7,427.90 is: 10,256.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.57 : 13,351.55 = 7,427.90 : x
  2. Step 2: Convert to fraction form
    9,669.57/13,351.55 = 7,427.90/x
  3. Step 3: Cross multiply
    9,669.57x = 13,351.55 × 7,427.90
  4. Step 4: Simplify right side
    9,669.57x = 99,173,874.35
  5. Step 5: Solve for x
    x = 99,173,874.35/9,669.57
  6. Step 6: Final answer
    x = 10,256.29

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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.