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Finding the Fourth Proportional to 9,811.28, 13,543.23 and 6,035.06

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Solution

The fourth proportional to 9,811.28, 13,543.23 and 6,035.06 is: 8,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.28 : 13,543.23 = 6,035.06 : x
  2. Step 2: Convert to fraction form
    9,811.28/13,543.23 = 6,035.06/x
  3. Step 3: Cross multiply
    9,811.28x = 13,543.23 × 6,035.06
  4. Step 4: Simplify right side
    9,811.28x = 81,734,205.64
  5. Step 5: Solve for x
    x = 81,734,205.64/9,811.28
  6. Step 6: Final answer
    x = 8,330.64

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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.