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Finding the Fourth Proportional to 9,494.56, 13,100.70 and 6,670.63

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Solution

The fourth proportional to 9,494.56, 13,100.70 and 6,670.63 is: 9,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.56 : 13,100.70 = 6,670.63 : x
  2. Step 2: Convert to fraction form
    9,494.56/13,100.70 = 6,670.63/x
  3. Step 3: Cross multiply
    9,494.56x = 13,100.70 × 6,670.63
  4. Step 4: Simplify right side
    9,494.56x = 87,389,922.44
  5. Step 5: Solve for x
    x = 87,389,922.44/9,494.56
  6. Step 6: Final answer
    x = 9,204.21

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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.