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Finding the Fourth Proportional to 9,478.56, 13,079.60 and 5,286.48

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Solution

The fourth proportional to 9,478.56, 13,079.60 and 5,286.48 is: 7,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.56 : 13,079.60 = 5,286.48 : x
  2. Step 2: Convert to fraction form
    9,478.56/13,079.60 = 5,286.48/x
  3. Step 3: Cross multiply
    9,478.56x = 13,079.60 × 5,286.48
  4. Step 4: Simplify right side
    9,478.56x = 69,145,043.81
  5. Step 5: Solve for x
    x = 69,145,043.81/9,478.56
  6. Step 6: Final answer
    x = 7,294.89

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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.