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Finding the Fourth Proportional to 9,689.81, 14,519.60 and 7,741.49

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Solution

The fourth proportional to 9,689.81, 14,519.60 and 7,741.49 is: 11,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.81 : 14,519.60 = 7,741.49 : x
  2. Step 2: Convert to fraction form
    9,689.81/14,519.60 = 7,741.49/x
  3. Step 3: Cross multiply
    9,689.81x = 14,519.60 × 7,741.49
  4. Step 4: Simplify right side
    9,689.81x = 112,403,299.50
  5. Step 5: Solve for x
    x = 112,403,299.50/9,689.81
  6. Step 6: Final answer
    x = 11,600.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.