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Finding the Fourth Proportional to 9,464.42, 14,201.50 and 5,090.42

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Solution

The fourth proportional to 9,464.42, 14,201.50 and 5,090.42 is: 7,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.42 : 14,201.50 = 5,090.42 : x
  2. Step 2: Convert to fraction form
    9,464.42/14,201.50 = 5,090.42/x
  3. Step 3: Cross multiply
    9,464.42x = 14,201.50 × 5,090.42
  4. Step 4: Simplify right side
    9,464.42x = 72,291,599.63
  5. Step 5: Solve for x
    x = 72,291,599.63/9,464.42
  6. Step 6: Final answer
    x = 7,638.25

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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.