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Finding the Fourth Proportional to 6,301.44, 8,698.36 and 4,734.06

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Solution

The fourth proportional to 6,301.44, 8,698.36 and 4,734.06 is: 6,534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.44 : 8,698.36 = 4,734.06 : x
  2. Step 2: Convert to fraction form
    6,301.44/8,698.36 = 4,734.06/x
  3. Step 3: Cross multiply
    6,301.44x = 8,698.36 × 4,734.06
  4. Step 4: Simplify right side
    6,301.44x = 41,178,558.14
  5. Step 5: Solve for x
    x = 41,178,558.14/6,301.44
  6. Step 6: Final answer
    x = 6,534.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.