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Finding the Fourth Proportional to 9,601.37, 14,342.94 and 6,946.16

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Solution

The fourth proportional to 9,601.37, 14,342.94 and 6,946.16 is: 10,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.37 : 14,342.94 = 6,946.16 : x
  2. Step 2: Convert to fraction form
    9,601.37/14,342.94 = 6,946.16/x
  3. Step 3: Cross multiply
    9,601.37x = 14,342.94 × 6,946.16
  4. Step 4: Simplify right side
    9,601.37x = 99,628,284.40
  5. Step 5: Solve for x
    x = 99,628,284.40/9,601.37
  6. Step 6: Final answer
    x = 10,376.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.