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Finding the Fourth Proportional to 9,741.76, 13,441.62 and 6,203.68

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Solution

The fourth proportional to 9,741.76, 13,441.62 and 6,203.68 is: 8,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.76 : 13,441.62 = 6,203.68 : x
  2. Step 2: Convert to fraction form
    9,741.76/13,441.62 = 6,203.68/x
  3. Step 3: Cross multiply
    9,741.76x = 13,441.62 × 6,203.68
  4. Step 4: Simplify right side
    9,741.76x = 83,387,509.16
  5. Step 5: Solve for x
    x = 83,387,509.16/9,741.76
  6. Step 6: Final answer
    x = 8,559.80

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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.