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Finding the Fourth Proportional to 10,365, 14,313.42 and 7,229.88

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Solution

The fourth proportional to 10,365, 14,313.42 and 7,229.88 is: 9,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365 : 14,313.42 = 7,229.88 : x
  2. Step 2: Convert to fraction form
    10,365/14,313.42 = 7,229.88/x
  3. Step 3: Cross multiply
    10,365x = 14,313.42 × 7,229.88
  4. Step 4: Simplify right side
    10,365x = 103,484,308.99
  5. Step 5: Solve for x
    x = 103,484,308.99/10,365
  6. Step 6: Final answer
    x = 9,984.01

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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.