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Finding the Fourth Proportional to 6,495.06, 9,730.35 and 3,204.30

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Solution

The fourth proportional to 6,495.06, 9,730.35 and 3,204.30 is: 4,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.06 : 9,730.35 = 3,204.30 : x
  2. Step 2: Convert to fraction form
    6,495.06/9,730.35 = 3,204.30/x
  3. Step 3: Cross multiply
    6,495.06x = 9,730.35 × 3,204.30
  4. Step 4: Simplify right side
    6,495.06x = 31,178,960.51
  5. Step 5: Solve for x
    x = 31,178,960.51/6,495.06
  6. Step 6: Final answer
    x = 4,800.41

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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.