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Finding the Fourth Proportional to 6,227.36, 9,341.04 and 1,610

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Solution

The fourth proportional to 6,227.36, 9,341.04 and 1,610 is: 2,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.36 : 9,341.04 = 1,610 : x
  2. Step 2: Convert to fraction form
    6,227.36/9,341.04 = 1,610/x
  3. Step 3: Cross multiply
    6,227.36x = 9,341.04 × 1,610
  4. Step 4: Simplify right side
    6,227.36x = 15,039,074.40
  5. Step 5: Solve for x
    x = 15,039,074.40/6,227.36
  6. Step 6: Final answer
    x = 2,415.00

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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.