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Finding the Fourth Proportional to 6,512.36, 9,746.94 and 5,204.84

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Solution

The fourth proportional to 6,512.36, 9,746.94 and 5,204.84 is: 7,790.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.36 : 9,746.94 = 5,204.84 : x
  2. Step 2: Convert to fraction form
    6,512.36/9,746.94 = 5,204.84/x
  3. Step 3: Cross multiply
    6,512.36x = 9,746.94 × 5,204.84
  4. Step 4: Simplify right side
    6,512.36x = 50,731,263.19
  5. Step 5: Solve for x
    x = 50,731,263.19/6,512.36
  6. Step 6: Final answer
    x = 7,790.00

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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.