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Finding the Fourth Proportional to 9,225.36, 13,837.01 and 3,302

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Solution

The fourth proportional to 9,225.36, 13,837.01 and 3,302 is: 4,952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.36 : 13,837.01 = 3,302 : x
  2. Step 2: Convert to fraction form
    9,225.36/13,837.01 = 3,302/x
  3. Step 3: Cross multiply
    9,225.36x = 13,837.01 × 3,302
  4. Step 4: Simplify right side
    9,225.36x = 45,689,807.02
  5. Step 5: Solve for x
    x = 45,689,807.02/9,225.36
  6. Step 6: Final answer
    x = 4,952.63

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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.