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Finding the Fourth Proportional to 9,432.08, 13,015.60 and 5,240

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Solution

The fourth proportional to 9,432.08, 13,015.60 and 5,240 is: 7,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.08 : 13,015.60 = 5,240 : x
  2. Step 2: Convert to fraction form
    9,432.08/13,015.60 = 5,240/x
  3. Step 3: Cross multiply
    9,432.08x = 13,015.60 × 5,240
  4. Step 4: Simplify right side
    9,432.08x = 68,201,744
  5. Step 5: Solve for x
    x = 68,201,744/9,432.08
  6. Step 6: Final answer
    x = 7,230.83

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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.