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Finding the Fourth Proportional to 6,309.06, 9,465.10 and 1,926.24

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Solution

The fourth proportional to 6,309.06, 9,465.10 and 1,926.24 is: 2,889.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.06 : 9,465.10 = 1,926.24 : x
  2. Step 2: Convert to fraction form
    6,309.06/9,465.10 = 1,926.24/x
  3. Step 3: Cross multiply
    6,309.06x = 9,465.10 × 1,926.24
  4. Step 4: Simplify right side
    6,309.06x = 18,232,054.22
  5. Step 5: Solve for x
    x = 18,232,054.22/6,309.06
  6. Step 6: Final answer
    x = 2,889.82

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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.