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Finding the Fourth Proportional to 9,468, 14,199.60 and 2,892.48

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Solution

The fourth proportional to 9,468, 14,199.60 and 2,892.48 is: 4,337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468 : 14,199.60 = 2,892.48 : x
  2. Step 2: Convert to fraction form
    9,468/14,199.60 = 2,892.48/x
  3. Step 3: Cross multiply
    9,468x = 14,199.60 × 2,892.48
  4. Step 4: Simplify right side
    9,468x = 41,072,059.01
  5. Step 5: Solve for x
    x = 41,072,059.01/9,468
  6. Step 6: Final answer
    x = 4,337.99

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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.