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Finding the Fourth Proportional to 6,503.06, 9,751.62 and 2,803.52

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Solution

The fourth proportional to 6,503.06, 9,751.62 and 2,803.52 is: 4,204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.06 : 9,751.62 = 2,803.52 : x
  2. Step 2: Convert to fraction form
    6,503.06/9,751.62 = 2,803.52/x
  3. Step 3: Cross multiply
    6,503.06x = 9,751.62 × 2,803.52
  4. Step 4: Simplify right side
    6,503.06x = 27,338,861.70
  5. Step 5: Solve for x
    x = 27,338,861.70/6,503.06
  6. Step 6: Final answer
    x = 4,204.00

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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.