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Finding the Fourth Proportional to 9,466.96, 14,199.48 and 2,542.16

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Solution

The fourth proportional to 9,466.96, 14,199.48 and 2,542.16 is: 3,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.96 : 14,199.48 = 2,542.16 : x
  2. Step 2: Convert to fraction form
    9,466.96/14,199.48 = 2,542.16/x
  3. Step 3: Cross multiply
    9,466.96x = 14,199.48 × 2,542.16
  4. Step 4: Simplify right side
    9,466.96x = 36,097,350.08
  5. Step 5: Solve for x
    x = 36,097,350.08/9,466.96
  6. Step 6: Final answer
    x = 3,812.98

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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.