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Finding the Fourth Proportional to 9,144.29, 12,620.15 and 5,165.66

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Solution

The fourth proportional to 9,144.29, 12,620.15 and 5,165.66 is: 7,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.29 : 12,620.15 = 5,165.66 : x
  2. Step 2: Convert to fraction form
    9,144.29/12,620.15 = 5,165.66/x
  3. Step 3: Cross multiply
    9,144.29x = 12,620.15 × 5,165.66
  4. Step 4: Simplify right side
    9,144.29x = 65,191,448.51
  5. Step 5: Solve for x
    x = 65,191,448.51/9,144.29
  6. Step 6: Final answer
    x = 7,129.20

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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.