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Finding the Fourth Proportional to 9,674.51, 13,350.94 and 5,426.47

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Solution

The fourth proportional to 9,674.51, 13,350.94 and 5,426.47 is: 7,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.51 : 13,350.94 = 5,426.47 : x
  2. Step 2: Convert to fraction form
    9,674.51/13,350.94 = 5,426.47/x
  3. Step 3: Cross multiply
    9,674.51x = 13,350.94 × 5,426.47
  4. Step 4: Simplify right side
    9,674.51x = 72,448,428.44
  5. Step 5: Solve for x
    x = 72,448,428.44/9,674.51
  6. Step 6: Final answer
    x = 7,488.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.