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Finding the Fourth Proportional to 9,119.04, 13,671 and 7,946.16

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Solution

The fourth proportional to 9,119.04, 13,671 and 7,946.16 is: 11,912.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.04 : 13,671 = 7,946.16 : x
  2. Step 2: Convert to fraction form
    9,119.04/13,671 = 7,946.16/x
  3. Step 3: Cross multiply
    9,119.04x = 13,671 × 7,946.16
  4. Step 4: Simplify right side
    9,119.04x = 108,631,953.36
  5. Step 5: Solve for x
    x = 108,631,953.36/9,119.04
  6. Step 6: Final answer
    x = 11,912.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.