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Finding the Fourth Proportional to 9,345.08, 12,896.74 and 5,366.64

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Solution

The fourth proportional to 9,345.08, 12,896.74 and 5,366.64 is: 7,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.08 : 12,896.74 = 5,366.64 : x
  2. Step 2: Convert to fraction form
    9,345.08/12,896.74 = 5,366.64/x
  3. Step 3: Cross multiply
    9,345.08x = 12,896.74 × 5,366.64
  4. Step 4: Simplify right side
    9,345.08x = 69,212,160.75
  5. Step 5: Solve for x
    x = 69,212,160.75/9,345.08
  6. Step 6: Final answer
    x = 7,406.27

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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.