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Finding the Fourth Proportional to 9,666.54, 13,325.72 and 6,825.06

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Solution

The fourth proportional to 9,666.54, 13,325.72 and 6,825.06 is: 9,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.54 : 13,325.72 = 6,825.06 : x
  2. Step 2: Convert to fraction form
    9,666.54/13,325.72 = 6,825.06/x
  3. Step 3: Cross multiply
    9,666.54x = 13,325.72 × 6,825.06
  4. Step 4: Simplify right side
    9,666.54x = 90,948,804.42
  5. Step 5: Solve for x
    x = 90,948,804.42/9,666.54
  6. Step 6: Final answer
    x = 9,408.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.