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Finding the Fourth Proportional to 9,370.50, 14,051.88 and 3,820.08

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Solution

The fourth proportional to 9,370.50, 14,051.88 and 3,820.08 is: 5,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370.50 : 14,051.88 = 3,820.08 : x
  2. Step 2: Convert to fraction form
    9,370.50/14,051.88 = 3,820.08/x
  3. Step 3: Cross multiply
    9,370.50x = 14,051.88 × 3,820.08
  4. Step 4: Simplify right side
    9,370.50x = 53,679,305.75
  5. Step 5: Solve for x
    x = 53,679,305.75/9,370.50
  6. Step 6: Final answer
    x = 5,728.54

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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.