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Finding the Fourth Proportional to 6,210.99, 9,316.98 and 1,828.49

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Solution

The fourth proportional to 6,210.99, 9,316.98 and 1,828.49 is: 2,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210.99 : 9,316.98 = 1,828.49 : x
  2. Step 2: Convert to fraction form
    6,210.99/9,316.98 = 1,828.49/x
  3. Step 3: Cross multiply
    6,210.99x = 9,316.98 × 1,828.49
  4. Step 4: Simplify right side
    6,210.99x = 17,035,958.18
  5. Step 5: Solve for x
    x = 17,035,958.18/6,210.99
  6. Step 6: Final answer
    x = 2,742.87

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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.