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Finding the Fourth Proportional to 9,505.84, 14,257.64 and 2,931.46

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Solution

The fourth proportional to 9,505.84, 14,257.64 and 2,931.46 is: 4,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.84 : 14,257.64 = 2,931.46 : x
  2. Step 2: Convert to fraction form
    9,505.84/14,257.64 = 2,931.46/x
  3. Step 3: Cross multiply
    9,505.84x = 14,257.64 × 2,931.46
  4. Step 4: Simplify right side
    9,505.84x = 41,795,673.04
  5. Step 5: Solve for x
    x = 41,795,673.04/9,505.84
  6. Step 6: Final answer
    x = 4,396.84

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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.