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Finding the Fourth Proportional to 9,674.12, 13,346.26 and 7,432.04

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Solution

The fourth proportional to 9,674.12, 13,346.26 and 7,432.04 is: 10,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.12 : 13,346.26 = 7,432.04 : x
  2. Step 2: Convert to fraction form
    9,674.12/13,346.26 = 7,432.04/x
  3. Step 3: Cross multiply
    9,674.12x = 13,346.26 × 7,432.04
  4. Step 4: Simplify right side
    9,674.12x = 99,189,938.17
  5. Step 5: Solve for x
    x = 99,189,938.17/9,674.12
  6. Step 6: Final answer
    x = 10,253.12

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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.