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Finding the Fourth Proportional to 9,635.81, 14,453.39 and 4,085.58

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Solution

The fourth proportional to 9,635.81, 14,453.39 and 4,085.58 is: 6,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.81 : 14,453.39 = 4,085.58 : x
  2. Step 2: Convert to fraction form
    9,635.81/14,453.39 = 4,085.58/x
  3. Step 3: Cross multiply
    9,635.81x = 14,453.39 × 4,085.58
  4. Step 4: Simplify right side
    9,635.81x = 59,050,460.69
  5. Step 5: Solve for x
    x = 59,050,460.69/9,635.81
  6. Step 6: Final answer
    x = 6,128.23

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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.