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Finding the Fourth Proportional to 6,412.74, 9,593.80 and 4,857.23

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Solution

The fourth proportional to 6,412.74, 9,593.80 and 4,857.23 is: 7,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.74 : 9,593.80 = 4,857.23 : x
  2. Step 2: Convert to fraction form
    6,412.74/9,593.80 = 4,857.23/x
  3. Step 3: Cross multiply
    6,412.74x = 9,593.80 × 4,857.23
  4. Step 4: Simplify right side
    6,412.74x = 46,599,293.17
  5. Step 5: Solve for x
    x = 46,599,293.17/6,412.74
  6. Step 6: Final answer
    x = 7,266.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.