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Finding the Fourth Proportional to 9,803.34, 14,705.04 and 5,111.82

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Solution

The fourth proportional to 9,803.34, 14,705.04 and 5,111.82 is: 7,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.34 : 14,705.04 = 5,111.82 : x
  2. Step 2: Convert to fraction form
    9,803.34/14,705.04 = 5,111.82/x
  3. Step 3: Cross multiply
    9,803.34x = 14,705.04 × 5,111.82
  4. Step 4: Simplify right side
    9,803.34x = 75,169,517.57
  5. Step 5: Solve for x
    x = 75,169,517.57/9,803.34
  6. Step 6: Final answer
    x = 7,667.75

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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.