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Finding the Fourth Proportional to 9,892.19, 14,838.26 and 2,497.23

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Solution

The fourth proportional to 9,892.19, 14,838.26 and 2,497.23 is: 3,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.19 : 14,838.26 = 2,497.23 : x
  2. Step 2: Convert to fraction form
    9,892.19/14,838.26 = 2,497.23/x
  3. Step 3: Cross multiply
    9,892.19x = 14,838.26 × 2,497.23
  4. Step 4: Simplify right side
    9,892.19x = 37,054,548.02
  5. Step 5: Solve for x
    x = 37,054,548.02/9,892.19
  6. Step 6: Final answer
    x = 3,745.84

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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.