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Finding the Fourth Proportional to 9,374.10, 14,057.10 and 4,692.30

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Solution

The fourth proportional to 9,374.10, 14,057.10 and 4,692.30 is: 7,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.10 : 14,057.10 = 4,692.30 : x
  2. Step 2: Convert to fraction form
    9,374.10/14,057.10 = 4,692.30/x
  3. Step 3: Cross multiply
    9,374.10x = 14,057.10 × 4,692.30
  4. Step 4: Simplify right side
    9,374.10x = 65,960,130.33
  5. Step 5: Solve for x
    x = 65,960,130.33/9,374.10
  6. Step 6: Final answer
    x = 7,036.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.