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Finding the Fourth Proportional to 9,853.50, 14,771.97 and 4,014.30

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Solution

The fourth proportional to 9,853.50, 14,771.97 and 4,014.30 is: 6,018.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.50 : 14,771.97 = 4,014.30 : x
  2. Step 2: Convert to fraction form
    9,853.50/14,771.97 = 4,014.30/x
  3. Step 3: Cross multiply
    9,853.50x = 14,771.97 × 4,014.30
  4. Step 4: Simplify right side
    9,853.50x = 59,299,119.17
  5. Step 5: Solve for x
    x = 59,299,119.17/9,853.50
  6. Step 6: Final answer
    x = 6,018.08

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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.