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Finding the Fourth Proportional to 9,592.56, 14,386.68 and 3,745.44

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Solution

The fourth proportional to 9,592.56, 14,386.68 and 3,745.44 is: 5,617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.56 : 14,386.68 = 3,745.44 : x
  2. Step 2: Convert to fraction form
    9,592.56/14,386.68 = 3,745.44/x
  3. Step 3: Cross multiply
    9,592.56x = 14,386.68 × 3,745.44
  4. Step 4: Simplify right side
    9,592.56x = 53,884,446.74
  5. Step 5: Solve for x
    x = 53,884,446.74/9,592.56
  6. Step 6: Final answer
    x = 5,617.32

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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.