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Finding the Fourth Proportional to 6,208.36, 9,312.24 and 2,047.76

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Solution

The fourth proportional to 6,208.36, 9,312.24 and 2,047.76 is: 3,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.36 : 9,312.24 = 2,047.76 : x
  2. Step 2: Convert to fraction form
    6,208.36/9,312.24 = 2,047.76/x
  3. Step 3: Cross multiply
    6,208.36x = 9,312.24 × 2,047.76
  4. Step 4: Simplify right side
    6,208.36x = 19,069,232.58
  5. Step 5: Solve for x
    x = 19,069,232.58/6,208.36
  6. Step 6: Final answer
    x = 3,071.54

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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.