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Finding the Fourth Proportional to 6,286.84, 9,424.70 and 5,368.28

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Solution

The fourth proportional to 6,286.84, 9,424.70 and 5,368.28 is: 8,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.84 : 9,424.70 = 5,368.28 : x
  2. Step 2: Convert to fraction form
    6,286.84/9,424.70 = 5,368.28/x
  3. Step 3: Cross multiply
    6,286.84x = 9,424.70 × 5,368.28
  4. Step 4: Simplify right side
    6,286.84x = 50,594,428.52
  5. Step 5: Solve for x
    x = 50,594,428.52/6,286.84
  6. Step 6: Final answer
    x = 8,047.67

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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.