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Finding the Fourth Proportional to 6,313.56, 9,467.00 and 2,802.04

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Solution

The fourth proportional to 6,313.56, 9,467.00 and 2,802.04 is: 4,201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.56 : 9,467.00 = 2,802.04 : x
  2. Step 2: Convert to fraction form
    6,313.56/9,467.00 = 2,802.04/x
  3. Step 3: Cross multiply
    6,313.56x = 9,467.00 × 2,802.04
  4. Step 4: Simplify right side
    6,313.56x = 26,526,885.51
  5. Step 5: Solve for x
    x = 26,526,885.51/6,313.56
  6. Step 6: Final answer
    x = 4,201.58

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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.