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Finding the Fourth Proportional to 6,301.32, 9,441.06 and 3,009.90

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Solution

The fourth proportional to 6,301.32, 9,441.06 and 3,009.90 is: 4,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.32 : 9,441.06 = 3,009.90 : x
  2. Step 2: Convert to fraction form
    6,301.32/9,441.06 = 3,009.90/x
  3. Step 3: Cross multiply
    6,301.32x = 9,441.06 × 3,009.90
  4. Step 4: Simplify right side
    6,301.32x = 28,416,646.49
  5. Step 5: Solve for x
    x = 28,416,646.49/6,301.32
  6. Step 6: Final answer
    x = 4,509.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.