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Finding the Fourth Proportional to 9,445.77, 13,035.29 and 5,911.11

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Solution

The fourth proportional to 9,445.77, 13,035.29 and 5,911.11 is: 8,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.77 : 13,035.29 = 5,911.11 : x
  2. Step 2: Convert to fraction form
    9,445.77/13,035.29 = 5,911.11/x
  3. Step 3: Cross multiply
    9,445.77x = 13,035.29 × 5,911.11
  4. Step 4: Simplify right side
    9,445.77x = 77,053,003.52
  5. Step 5: Solve for x
    x = 77,053,003.52/9,445.77
  6. Step 6: Final answer
    x = 8,157.41

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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.