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Finding the Fourth Proportional to 9,116.49, 13,674.74 and 7,039.53

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Solution

The fourth proportional to 9,116.49, 13,674.74 and 7,039.53 is: 10,559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.49 : 13,674.74 = 7,039.53 : x
  2. Step 2: Convert to fraction form
    9,116.49/13,674.74 = 7,039.53/x
  3. Step 3: Cross multiply
    9,116.49x = 13,674.74 × 7,039.53
  4. Step 4: Simplify right side
    9,116.49x = 96,263,707.27
  5. Step 5: Solve for x
    x = 96,263,707.27/9,116.49
  6. Step 6: Final answer
    x = 10,559.29

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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.