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Finding the Fourth Proportional to 7,100.63, 9,788.62 and 4,969.56

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Solution

The fourth proportional to 7,100.63, 9,788.62 and 4,969.56 is: 6,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.63 : 9,788.62 = 4,969.56 : x
  2. Step 2: Convert to fraction form
    7,100.63/9,788.62 = 4,969.56/x
  3. Step 3: Cross multiply
    7,100.63x = 9,788.62 × 4,969.56
  4. Step 4: Simplify right side
    7,100.63x = 48,645,109.56
  5. Step 5: Solve for x
    x = 48,645,109.56/7,100.63
  6. Step 6: Final answer
    x = 6,850.82

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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.