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Finding the Fourth Proportional to 9,182.86, 13,771.83 and 3,987.50

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Solution

The fourth proportional to 9,182.86, 13,771.83 and 3,987.50 is: 5,980.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.86 : 13,771.83 = 3,987.50 : x
  2. Step 2: Convert to fraction form
    9,182.86/13,771.83 = 3,987.50/x
  3. Step 3: Cross multiply
    9,182.86x = 13,771.83 × 3,987.50
  4. Step 4: Simplify right side
    9,182.86x = 54,915,172.13
  5. Step 5: Solve for x
    x = 54,915,172.13/9,182.86
  6. Step 6: Final answer
    x = 5,980.18

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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.