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Finding the Fourth Proportional to 9,716.88, 14,575.32 and 9,244.74

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Solution

The fourth proportional to 9,716.88, 14,575.32 and 9,244.74 is: 13,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.88 : 14,575.32 = 9,244.74 : x
  2. Step 2: Convert to fraction form
    9,716.88/14,575.32 = 9,244.74/x
  3. Step 3: Cross multiply
    9,716.88x = 14,575.32 × 9,244.74
  4. Step 4: Simplify right side
    9,716.88x = 134,745,043.82
  5. Step 5: Solve for x
    x = 134,745,043.82/9,716.88
  6. Step 6: Final answer
    x = 13,867.11

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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.