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Finding the Fourth Proportional to 9,273.03, 13,909.67 and 3,033

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Solution

The fourth proportional to 9,273.03, 13,909.67 and 3,033 is: 4,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.03 : 13,909.67 = 3,033 : x
  2. Step 2: Convert to fraction form
    9,273.03/13,909.67 = 3,033/x
  3. Step 3: Cross multiply
    9,273.03x = 13,909.67 × 3,033
  4. Step 4: Simplify right side
    9,273.03x = 42,188,013.95
  5. Step 5: Solve for x
    x = 42,188,013.95/9,273.03
  6. Step 6: Final answer
    x = 4,549.54

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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.