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Finding the Fourth Proportional to 9,144.86, 12,619.89 and 4,953.11

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Solution

The fourth proportional to 9,144.86, 12,619.89 and 4,953.11 is: 6,835.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.86 : 12,619.89 = 4,953.11 : x
  2. Step 2: Convert to fraction form
    9,144.86/12,619.89 = 4,953.11/x
  3. Step 3: Cross multiply
    9,144.86x = 12,619.89 × 4,953.11
  4. Step 4: Simplify right side
    9,144.86x = 62,507,640.26
  5. Step 5: Solve for x
    x = 62,507,640.26/9,144.86
  6. Step 6: Final answer
    x = 6,835.28

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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.