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Finding the Fourth Proportional to 9,674.06, 13,345.10 and 5,896.32

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Solution

The fourth proportional to 9,674.06, 13,345.10 and 5,896.32 is: 8,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.06 : 13,345.10 = 5,896.32 : x
  2. Step 2: Convert to fraction form
    9,674.06/13,345.10 = 5,896.32/x
  3. Step 3: Cross multiply
    9,674.06x = 13,345.10 × 5,896.32
  4. Step 4: Simplify right side
    9,674.06x = 78,686,980.03
  5. Step 5: Solve for x
    x = 78,686,980.03/9,674.06
  6. Step 6: Final answer
    x = 8,133.81

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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.