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Finding the Fourth Proportional to 9,509.01, 14,250.78 and 5,346.96

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Solution

The fourth proportional to 9,509.01, 14,250.78 and 5,346.96 is: 8,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.01 : 14,250.78 = 5,346.96 : x
  2. Step 2: Convert to fraction form
    9,509.01/14,250.78 = 5,346.96/x
  3. Step 3: Cross multiply
    9,509.01x = 14,250.78 × 5,346.96
  4. Step 4: Simplify right side
    9,509.01x = 76,198,350.63
  5. Step 5: Solve for x
    x = 76,198,350.63/9,509.01
  6. Step 6: Final answer
    x = 8,013.28

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1.5x scale

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.