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Finding the Fourth Proportional to 6,499.95, 8,968.36 and 3,848.01

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Solution

The fourth proportional to 6,499.95, 8,968.36 and 3,848.01 is: 5,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.95 : 8,968.36 = 3,848.01 : x
  2. Step 2: Convert to fraction form
    6,499.95/8,968.36 = 3,848.01/x
  3. Step 3: Cross multiply
    6,499.95x = 8,968.36 × 3,848.01
  4. Step 4: Simplify right side
    6,499.95x = 34,510,338.96
  5. Step 5: Solve for x
    x = 34,510,338.96/6,499.95
  6. Step 6: Final answer
    x = 5,309.32

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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.