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Finding the Fourth Proportional to 9,182.67, 12,672.31 and 5,406.03

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Solution

The fourth proportional to 9,182.67, 12,672.31 and 5,406.03 is: 7,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.67 : 12,672.31 = 5,406.03 : x
  2. Step 2: Convert to fraction form
    9,182.67/12,672.31 = 5,406.03/x
  3. Step 3: Cross multiply
    9,182.67x = 12,672.31 × 5,406.03
  4. Step 4: Simplify right side
    9,182.67x = 68,506,888.03
  5. Step 5: Solve for x
    x = 68,506,888.03/9,182.67
  6. Step 6: Final answer
    x = 7,460.45

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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.