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Finding the Fourth Proportional to 9,803.12, 13,543.50 and 9,729.32

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Solution

The fourth proportional to 9,803.12, 13,543.50 and 9,729.32 is: 13,441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.12 : 13,543.50 = 9,729.32 : x
  2. Step 2: Convert to fraction form
    9,803.12/13,543.50 = 9,729.32/x
  3. Step 3: Cross multiply
    9,803.12x = 13,543.50 × 9,729.32
  4. Step 4: Simplify right side
    9,803.12x = 131,769,045.42
  5. Step 5: Solve for x
    x = 131,769,045.42/9,803.12
  6. Step 6: Final answer
    x = 13,441.54

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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.