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Finding the Fourth Proportional to 12,291.34, 16,962.15 and 6,702.34

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Solution

The fourth proportional to 12,291.34, 16,962.15 and 6,702.34 is: 9,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.34 : 16,962.15 = 6,702.34 : x
  2. Step 2: Convert to fraction form
    12,291.34/16,962.15 = 6,702.34/x
  3. Step 3: Cross multiply
    12,291.34x = 16,962.15 × 6,702.34
  4. Step 4: Simplify right side
    12,291.34x = 113,686,096.43
  5. Step 5: Solve for x
    x = 113,686,096.43/12,291.34
  6. Step 6: Final answer
    x = 9,249.28

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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.