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Finding the Fourth Proportional to 11,637.23, 17,465.94 and 6,094.44

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Solution

The fourth proportional to 11,637.23, 17,465.94 and 6,094.44 is: 9,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.23 : 17,465.94 = 6,094.44 : x
  2. Step 2: Convert to fraction form
    11,637.23/17,465.94 = 6,094.44/x
  3. Step 3: Cross multiply
    11,637.23x = 17,465.94 × 6,094.44
  4. Step 4: Simplify right side
    11,637.23x = 106,445,123.37
  5. Step 5: Solve for x
    x = 106,445,123.37/11,637.23
  6. Step 6: Final answer
    x = 9,146.95

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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.