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Finding the Fourth Proportional to 9,568.96, 14,353.44 and 5,214.10

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Solution

The fourth proportional to 9,568.96, 14,353.44 and 5,214.10 is: 7,821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.96 : 14,353.44 = 5,214.10 : x
  2. Step 2: Convert to fraction form
    9,568.96/14,353.44 = 5,214.10/x
  3. Step 3: Cross multiply
    9,568.96x = 14,353.44 × 5,214.10
  4. Step 4: Simplify right side
    9,568.96x = 74,840,199.74
  5. Step 5: Solve for x
    x = 74,840,199.74/9,568.96
  6. Step 6: Final answer
    x = 7,821.15

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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.