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Finding the Fourth Proportional to 6,328.16, 9,498.05 and 3,210.34

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Solution

The fourth proportional to 6,328.16, 9,498.05 and 3,210.34 is: 4,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.16 : 9,498.05 = 3,210.34 : x
  2. Step 2: Convert to fraction form
    6,328.16/9,498.05 = 3,210.34/x
  3. Step 3: Cross multiply
    6,328.16x = 9,498.05 × 3,210.34
  4. Step 4: Simplify right side
    6,328.16x = 30,491,942.08
  5. Step 5: Solve for x
    x = 30,491,942.08/6,328.16
  6. Step 6: Final answer
    x = 4,818.45

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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.