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Finding the Fourth Proportional to 6,347.64, 9,504.36 and 5,172.84

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Solution

The fourth proportional to 6,347.64, 9,504.36 and 5,172.84 is: 7,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.64 : 9,504.36 = 5,172.84 : x
  2. Step 2: Convert to fraction form
    6,347.64/9,504.36 = 5,172.84/x
  3. Step 3: Cross multiply
    6,347.64x = 9,504.36 × 5,172.84
  4. Step 4: Simplify right side
    6,347.64x = 49,164,533.58
  5. Step 5: Solve for x
    x = 49,164,533.58/6,347.64
  6. Step 6: Final answer
    x = 7,745.32

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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.