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Finding the Fourth Proportional to 10,141.41, 14,004.73 and 9,589.20

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Solution

The fourth proportional to 10,141.41, 14,004.73 and 9,589.20 is: 13,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.41 : 14,004.73 = 9,589.20 : x
  2. Step 2: Convert to fraction form
    10,141.41/14,004.73 = 9,589.20/x
  3. Step 3: Cross multiply
    10,141.41x = 14,004.73 × 9,589.20
  4. Step 4: Simplify right side
    10,141.41x = 134,294,156.92
  5. Step 5: Solve for x
    x = 134,294,156.92/10,141.41
  6. Step 6: Final answer
    x = 13,242.16

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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.