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Finding the Fourth Proportional to 9,824.64, 14,647.60 and 8,716.56

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Solution

The fourth proportional to 9,824.64, 14,647.60 and 8,716.56 is: 12,995.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.64 : 14,647.60 = 8,716.56 : x
  2. Step 2: Convert to fraction form
    9,824.64/14,647.60 = 8,716.56/x
  3. Step 3: Cross multiply
    9,824.64x = 14,647.60 × 8,716.56
  4. Step 4: Simplify right side
    9,824.64x = 127,676,684.26
  5. Step 5: Solve for x
    x = 127,676,684.26/9,824.64
  6. Step 6: Final answer
    x = 12,995.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.