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Finding the Fourth Proportional to 9,655.75, 14,484.26 and 3,816.46

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Solution

The fourth proportional to 9,655.75, 14,484.26 and 3,816.46 is: 5,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.75 : 14,484.26 = 3,816.46 : x
  2. Step 2: Convert to fraction form
    9,655.75/14,484.26 = 3,816.46/x
  3. Step 3: Cross multiply
    9,655.75x = 14,484.26 × 3,816.46
  4. Step 4: Simplify right side
    9,655.75x = 55,278,598.92
  5. Step 5: Solve for x
    x = 55,278,598.92/9,655.75
  6. Step 6: Final answer
    x = 5,724.94

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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.