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Finding the Fourth Proportional to 9,671.92, 13,346.32 and 5,480.16

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Solution

The fourth proportional to 9,671.92, 13,346.32 and 5,480.16 is: 7,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.92 : 13,346.32 = 5,480.16 : x
  2. Step 2: Convert to fraction form
    9,671.92/13,346.32 = 5,480.16/x
  3. Step 3: Cross multiply
    9,671.92x = 13,346.32 × 5,480.16
  4. Step 4: Simplify right side
    9,671.92x = 73,139,969.01
  5. Step 5: Solve for x
    x = 73,139,969.01/9,671.92
  6. Step 6: Final answer
    x = 7,562.09

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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.