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Finding the Fourth Proportional to 9,422.84, 14,181.52 and 7,094.90

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Solution

The fourth proportional to 9,422.84, 14,181.52 and 7,094.90 is: 10,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.84 : 14,181.52 = 7,094.90 : x
  2. Step 2: Convert to fraction form
    9,422.84/14,181.52 = 7,094.90/x
  3. Step 3: Cross multiply
    9,422.84x = 14,181.52 × 7,094.90
  4. Step 4: Simplify right side
    9,422.84x = 100,616,466.25
  5. Step 5: Solve for x
    x = 100,616,466.25/9,422.84
  6. Step 6: Final answer
    x = 10,677.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.