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Finding the Fourth Proportional to 6,129, 9,191.14 and 2,616.76

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Solution

The fourth proportional to 6,129, 9,191.14 and 2,616.76 is: 3,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129 : 9,191.14 = 2,616.76 : x
  2. Step 2: Convert to fraction form
    6,129/9,191.14 = 2,616.76/x
  3. Step 3: Cross multiply
    6,129x = 9,191.14 × 2,616.76
  4. Step 4: Simplify right side
    6,129x = 24,051,007.51
  5. Step 5: Solve for x
    x = 24,051,007.51/6,129
  6. Step 6: Final answer
    x = 3,924.13

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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.