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Finding the Fourth Proportional to 6,334.32, 9,503.50 and 3,047.60

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Solution

The fourth proportional to 6,334.32, 9,503.50 and 3,047.60 is: 4,572.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.32 : 9,503.50 = 3,047.60 : x
  2. Step 2: Convert to fraction form
    6,334.32/9,503.50 = 3,047.60/x
  3. Step 3: Cross multiply
    6,334.32x = 9,503.50 × 3,047.60
  4. Step 4: Simplify right side
    6,334.32x = 28,962,866.60
  5. Step 5: Solve for x
    x = 28,962,866.60/6,334.32
  6. Step 6: Final answer
    x = 4,572.37

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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.