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Finding the Fourth Proportional to 9,004.08, 13,461.75 and 7,632.75

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Solution

The fourth proportional to 9,004.08, 13,461.75 and 7,632.75 is: 11,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004.08 : 13,461.75 = 7,632.75 : x
  2. Step 2: Convert to fraction form
    9,004.08/13,461.75 = 7,632.75/x
  3. Step 3: Cross multiply
    9,004.08x = 13,461.75 × 7,632.75
  4. Step 4: Simplify right side
    9,004.08x = 102,750,172.31
  5. Step 5: Solve for x
    x = 102,750,172.31/9,004.08
  6. Step 6: Final answer
    x = 11,411.51

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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.