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Finding the Fourth Proportional to 9,000.90, 13,501.44 and 3,157.50

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Solution

The fourth proportional to 9,000.90, 13,501.44 and 3,157.50 is: 4,736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.90 : 13,501.44 = 3,157.50 : x
  2. Step 2: Convert to fraction form
    9,000.90/13,501.44 = 3,157.50/x
  3. Step 3: Cross multiply
    9,000.90x = 13,501.44 × 3,157.50
  4. Step 4: Simplify right side
    9,000.90x = 42,630,796.80
  5. Step 5: Solve for x
    x = 42,630,796.80/9,000.90
  6. Step 6: Final answer
    x = 4,736.28

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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.