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Finding the Fourth Proportional to 9,674.24, 13,356.90 and 7,432.11

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Solution

The fourth proportional to 9,674.24, 13,356.90 and 7,432.11 is: 10,261.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.24 : 13,356.90 = 7,432.11 : x
  2. Step 2: Convert to fraction form
    9,674.24/13,356.90 = 7,432.11/x
  3. Step 3: Cross multiply
    9,674.24x = 13,356.90 × 7,432.11
  4. Step 4: Simplify right side
    9,674.24x = 99,269,950.06
  5. Step 5: Solve for x
    x = 99,269,950.06/9,674.24
  6. Step 6: Final answer
    x = 10,261.27

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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.