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Finding the Fourth Proportional to 9,803.34, 14,690.61 and 7,728.42

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Solution

The fourth proportional to 9,803.34, 14,690.61 and 7,728.42 is: 11,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.34 : 14,690.61 = 7,728.42 : x
  2. Step 2: Convert to fraction form
    9,803.34/14,690.61 = 7,728.42/x
  3. Step 3: Cross multiply
    9,803.34x = 14,690.61 × 7,728.42
  4. Step 4: Simplify right side
    9,803.34x = 113,535,204.14
  5. Step 5: Solve for x
    x = 113,535,204.14/9,803.34
  6. Step 6: Final answer
    x = 11,581.28

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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.