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Finding the Fourth Proportional to 9,892.26, 13,651.30 and 5,476.26

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Solution

The fourth proportional to 9,892.26, 13,651.30 and 5,476.26 is: 7,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.26 : 13,651.30 = 5,476.26 : x
  2. Step 2: Convert to fraction form
    9,892.26/13,651.30 = 5,476.26/x
  3. Step 3: Cross multiply
    9,892.26x = 13,651.30 × 5,476.26
  4. Step 4: Simplify right side
    9,892.26x = 74,758,068.14
  5. Step 5: Solve for x
    x = 74,758,068.14/9,892.26
  6. Step 6: Final answer
    x = 7,557.23

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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.