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Finding the Fourth Proportional to 13,134.09, 18,125 and 7,165.76

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Solution

The fourth proportional to 13,134.09, 18,125 and 7,165.76 is: 9,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.09 : 18,125 = 7,165.76 : x
  2. Step 2: Convert to fraction form
    13,134.09/18,125 = 7,165.76/x
  3. Step 3: Cross multiply
    13,134.09x = 18,125 × 7,165.76
  4. Step 4: Simplify right side
    13,134.09x = 129,879,400
  5. Step 5: Solve for x
    x = 129,879,400/13,134.09
  6. Step 6: Final answer
    x = 9,888.72

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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.