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Finding the Fourth Proportional to 9,758.81, 14,636.54 and 3,517.58

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Solution

The fourth proportional to 9,758.81, 14,636.54 and 3,517.58 is: 5,275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.81 : 14,636.54 = 3,517.58 : x
  2. Step 2: Convert to fraction form
    9,758.81/14,636.54 = 3,517.58/x
  3. Step 3: Cross multiply
    9,758.81x = 14,636.54 × 3,517.58
  4. Step 4: Simplify right side
    9,758.81x = 51,485,127.19
  5. Step 5: Solve for x
    x = 51,485,127.19/9,758.81
  6. Step 6: Final answer
    x = 5,275.76

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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.