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Finding the Fourth Proportional to 6,204.96, 9,308.40 and 2,100

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Solution

The fourth proportional to 6,204.96, 9,308.40 and 2,100 is: 3,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.96 : 9,308.40 = 2,100 : x
  2. Step 2: Convert to fraction form
    6,204.96/9,308.40 = 2,100/x
  3. Step 3: Cross multiply
    6,204.96x = 9,308.40 × 2,100
  4. Step 4: Simplify right side
    6,204.96x = 19,547,640
  5. Step 5: Solve for x
    x = 19,547,640/6,204.96
  6. Step 6: Final answer
    x = 3,150.32

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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.