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Finding the Fourth Proportional to 6,444, 9,647.64 and 4,246.02

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Solution

The fourth proportional to 6,444, 9,647.64 and 4,246.02 is: 6,356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444 : 9,647.64 = 4,246.02 : x
  2. Step 2: Convert to fraction form
    6,444/9,647.64 = 4,246.02/x
  3. Step 3: Cross multiply
    6,444x = 9,647.64 × 4,246.02
  4. Step 4: Simplify right side
    6,444x = 40,964,072.39
  5. Step 5: Solve for x
    x = 40,964,072.39/6,444
  6. Step 6: Final answer
    x = 6,356.93

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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.