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Finding the Fourth Proportional to 9,762.21, 13,468.37 and 5,984.01

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Solution

The fourth proportional to 9,762.21, 13,468.37 and 5,984.01 is: 8,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.21 : 13,468.37 = 5,984.01 : x
  2. Step 2: Convert to fraction form
    9,762.21/13,468.37 = 5,984.01/x
  3. Step 3: Cross multiply
    9,762.21x = 13,468.37 × 5,984.01
  4. Step 4: Simplify right side
    9,762.21x = 80,594,830.84
  5. Step 5: Solve for x
    x = 80,594,830.84/9,762.21
  6. Step 6: Final answer
    x = 8,255.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.