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Finding the Fourth Proportional to 6,289.70, 9,436.32 and 5,130.68

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Solution

The fourth proportional to 6,289.70, 9,436.32 and 5,130.68 is: 7,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.70 : 9,436.32 = 5,130.68 : x
  2. Step 2: Convert to fraction form
    6,289.70/9,436.32 = 5,130.68/x
  3. Step 3: Cross multiply
    6,289.70x = 9,436.32 × 5,130.68
  4. Step 4: Simplify right side
    6,289.70x = 48,414,738.30
  5. Step 5: Solve for x
    x = 48,414,738.30/6,289.70
  6. Step 6: Final answer
    x = 7,697.46

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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.