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Finding the Fourth Proportional to 9,143.09, 13,707.98 and 6,174.17

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Solution

The fourth proportional to 9,143.09, 13,707.98 and 6,174.17 is: 9,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.09 : 13,707.98 = 6,174.17 : x
  2. Step 2: Convert to fraction form
    9,143.09/13,707.98 = 6,174.17/x
  3. Step 3: Cross multiply
    9,143.09x = 13,707.98 × 6,174.17
  4. Step 4: Simplify right side
    9,143.09x = 84,635,480.98
  5. Step 5: Solve for x
    x = 84,635,480.98/9,143.09
  6. Step 6: Final answer
    x = 9,256.77

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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.