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Finding the Fourth Proportional to 6,303.36, 9,458.24 and 2,839.84

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Solution

The fourth proportional to 6,303.36, 9,458.24 and 2,839.84 is: 4,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.36 : 9,458.24 = 2,839.84 : x
  2. Step 2: Convert to fraction form
    6,303.36/9,458.24 = 2,839.84/x
  3. Step 3: Cross multiply
    6,303.36x = 9,458.24 × 2,839.84
  4. Step 4: Simplify right side
    6,303.36x = 26,859,888.28
  5. Step 5: Solve for x
    x = 26,859,888.28/6,303.36
  6. Step 6: Final answer
    x = 4,261.20

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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.