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Finding the Fourth Proportional to 9,825.68, 14,716.38 and 5,655.80

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Solution

The fourth proportional to 9,825.68, 14,716.38 and 5,655.80 is: 8,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.68 : 14,716.38 = 5,655.80 : x
  2. Step 2: Convert to fraction form
    9,825.68/14,716.38 = 5,655.80/x
  3. Step 3: Cross multiply
    9,825.68x = 14,716.38 × 5,655.80
  4. Step 4: Simplify right side
    9,825.68x = 83,232,902.00
  5. Step 5: Solve for x
    x = 83,232,902.00/9,825.68
  6. Step 6: Final answer
    x = 8,470.96

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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.