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Finding the Fourth Proportional to 6,503.37, 9,753.71 and 2,287.19

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Solution

The fourth proportional to 6,503.37, 9,753.71 and 2,287.19 is: 3,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.37 : 9,753.71 = 2,287.19 : x
  2. Step 2: Convert to fraction form
    6,503.37/9,753.71 = 2,287.19/x
  3. Step 3: Cross multiply
    6,503.37x = 9,753.71 × 2,287.19
  4. Step 4: Simplify right side
    6,503.37x = 22,308,527.77
  5. Step 5: Solve for x
    x = 22,308,527.77/6,503.37
  6. Step 6: Final answer
    x = 3,430.30

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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.