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Finding the Fourth Proportional to 6,410.01, 9,609.08 and 3,283.13

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Solution

The fourth proportional to 6,410.01, 9,609.08 and 3,283.13 is: 4,921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.01 : 9,609.08 = 3,283.13 : x
  2. Step 2: Convert to fraction form
    6,410.01/9,609.08 = 3,283.13/x
  3. Step 3: Cross multiply
    6,410.01x = 9,609.08 × 3,283.13
  4. Step 4: Simplify right side
    6,410.01x = 31,547,866.43
  5. Step 5: Solve for x
    x = 31,547,866.43/6,410.01
  6. Step 6: Final answer
    x = 4,921.66

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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.