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Finding the Fourth Proportional to 9,309.09, 13,965.70 and 3,071.03

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Solution

The fourth proportional to 9,309.09, 13,965.70 and 3,071.03 is: 4,607.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.09 : 13,965.70 = 3,071.03 : x
  2. Step 2: Convert to fraction form
    9,309.09/13,965.70 = 3,071.03/x
  3. Step 3: Cross multiply
    9,309.09x = 13,965.70 × 3,071.03
  4. Step 4: Simplify right side
    9,309.09x = 42,889,083.67
  5. Step 5: Solve for x
    x = 42,889,083.67/9,309.09
  6. Step 6: Final answer
    x = 4,607.23

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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.