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Finding the Fourth Proportional to 9,505, 14,244.92 and 6,881.28

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Solution

The fourth proportional to 9,505, 14,244.92 and 6,881.28 is: 10,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505 : 14,244.92 = 6,881.28 : x
  2. Step 2: Convert to fraction form
    9,505/14,244.92 = 6,881.28/x
  3. Step 3: Cross multiply
    9,505x = 14,244.92 × 6,881.28
  4. Step 4: Simplify right side
    9,505x = 98,023,283.10
  5. Step 5: Solve for x
    x = 98,023,283.10/9,505
  6. Step 6: Final answer
    x = 10,312.81

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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.