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Finding the Fourth Proportional to 9,144.84, 12,619.83 and 4,953.09

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Solution

The fourth proportional to 9,144.84, 12,619.83 and 4,953.09 is: 6,835.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.84 : 12,619.83 = 4,953.09 : x
  2. Step 2: Convert to fraction form
    9,144.84/12,619.83 = 4,953.09/x
  3. Step 3: Cross multiply
    9,144.84x = 12,619.83 × 4,953.09
  4. Step 4: Simplify right side
    9,144.84x = 62,507,153.77
  5. Step 5: Solve for x
    x = 62,507,153.77/9,144.84
  6. Step 6: Final answer
    x = 6,835.24

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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.