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Finding the Fourth Proportional to 9,433.82, 13,018.74 and 5,184.96

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Solution

The fourth proportional to 9,433.82, 13,018.74 and 5,184.96 is: 7,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.82 : 13,018.74 = 5,184.96 : x
  2. Step 2: Convert to fraction form
    9,433.82/13,018.74 = 5,184.96/x
  3. Step 3: Cross multiply
    9,433.82x = 13,018.74 × 5,184.96
  4. Step 4: Simplify right side
    9,433.82x = 67,501,646.15
  5. Step 5: Solve for x
    x = 67,501,646.15/9,433.82
  6. Step 6: Final answer
    x = 7,155.29

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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.