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Finding the Fourth Proportional to 9,632.36, 14,453.01 and 4,087.01

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Solution

The fourth proportional to 9,632.36, 14,453.01 and 4,087.01 is: 6,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.36 : 14,453.01 = 4,087.01 : x
  2. Step 2: Convert to fraction form
    9,632.36/14,453.01 = 4,087.01/x
  3. Step 3: Cross multiply
    9,632.36x = 14,453.01 × 4,087.01
  4. Step 4: Simplify right side
    9,632.36x = 59,069,524.14
  5. Step 5: Solve for x
    x = 59,069,524.14/9,632.36
  6. Step 6: Final answer
    x = 6,132.41

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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.