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Finding the Fourth Proportional to 9,101.70, 12,564.22 and 6,119.26

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Solution

The fourth proportional to 9,101.70, 12,564.22 and 6,119.26 is: 8,447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.70 : 12,564.22 = 6,119.26 : x
  2. Step 2: Convert to fraction form
    9,101.70/12,564.22 = 6,119.26/x
  3. Step 3: Cross multiply
    9,101.70x = 12,564.22 × 6,119.26
  4. Step 4: Simplify right side
    9,101.70x = 76,883,764.32
  5. Step 5: Solve for x
    x = 76,883,764.32/9,101.70
  6. Step 6: Final answer
    x = 8,447.19

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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.