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Finding the Fourth Proportional to 6,410.63, 9,618.90 and 2,713.71

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Solution

The fourth proportional to 6,410.63, 9,618.90 and 2,713.71 is: 4,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.63 : 9,618.90 = 2,713.71 : x
  2. Step 2: Convert to fraction form
    6,410.63/9,618.90 = 2,713.71/x
  3. Step 3: Cross multiply
    6,410.63x = 9,618.90 × 2,713.71
  4. Step 4: Simplify right side
    6,410.63x = 26,102,905.12
  5. Step 5: Solve for x
    x = 26,102,905.12/6,410.63
  6. Step 6: Final answer
    x = 4,071.82

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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.