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Finding the Fourth Proportional to 9,431.84, 13,016.40 and 5,240

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Solution

The fourth proportional to 9,431.84, 13,016.40 and 5,240 is: 7,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.84 : 13,016.40 = 5,240 : x
  2. Step 2: Convert to fraction form
    9,431.84/13,016.40 = 5,240/x
  3. Step 3: Cross multiply
    9,431.84x = 13,016.40 × 5,240
  4. Step 4: Simplify right side
    9,431.84x = 68,205,936
  5. Step 5: Solve for x
    x = 68,205,936/9,431.84
  6. Step 6: Final answer
    x = 7,231.46

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