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Finding the Fourth Proportional to 7,144.63, 9,858.26 and 4,629.58

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Solution

The fourth proportional to 7,144.63, 9,858.26 and 4,629.58 is: 6,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.63 : 9,858.26 = 4,629.58 : x
  2. Step 2: Convert to fraction form
    7,144.63/9,858.26 = 4,629.58/x
  3. Step 3: Cross multiply
    7,144.63x = 9,858.26 × 4,629.58
  4. Step 4: Simplify right side
    7,144.63x = 45,639,590.26
  5. Step 5: Solve for x
    x = 45,639,590.26/7,144.63
  6. Step 6: Final answer
    x = 6,387.96

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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.