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Finding the Fourth Proportional to 9,619.48, 13,274.62 and 5,428.12

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Solution

The fourth proportional to 9,619.48, 13,274.62 and 5,428.12 is: 7,490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.48 : 13,274.62 = 5,428.12 : x
  2. Step 2: Convert to fraction form
    9,619.48/13,274.62 = 5,428.12/x
  3. Step 3: Cross multiply
    9,619.48x = 13,274.62 × 5,428.12
  4. Step 4: Simplify right side
    9,619.48x = 72,056,230.31
  5. Step 5: Solve for x
    x = 72,056,230.31/9,619.48
  6. Step 6: Final answer
    x = 7,490.66

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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.