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Finding the Fourth Proportional to 9,428.40, 13,010.94 and 5,236.38

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Solution

The fourth proportional to 9,428.40, 13,010.94 and 5,236.38 is: 7,226.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.40 : 13,010.94 = 5,236.38 : x
  2. Step 2: Convert to fraction form
    9,428.40/13,010.94 = 5,236.38/x
  3. Step 3: Cross multiply
    9,428.40x = 13,010.94 × 5,236.38
  4. Step 4: Simplify right side
    9,428.40x = 68,130,226.00
  5. Step 5: Solve for x
    x = 68,130,226.00/9,428.40
  6. Step 6: Final answer
    x = 7,226.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.