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Finding the Fourth Proportional to 9,674.16, 14,511.24 and 5,241.84

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Solution

The fourth proportional to 9,674.16, 14,511.24 and 5,241.84 is: 7,862.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.16 : 14,511.24 = 5,241.84 : x
  2. Step 2: Convert to fraction form
    9,674.16/14,511.24 = 5,241.84/x
  3. Step 3: Cross multiply
    9,674.16x = 14,511.24 × 5,241.84
  4. Step 4: Simplify right side
    9,674.16x = 76,065,598.28
  5. Step 5: Solve for x
    x = 76,065,598.28/9,674.16
  6. Step 6: Final answer
    x = 7,862.76

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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.