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Finding the Fourth Proportional to 9,858.44, 14,786.65 and 3,283.91

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Solution

The fourth proportional to 9,858.44, 14,786.65 and 3,283.91 is: 4,925.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.44 : 14,786.65 = 3,283.91 : x
  2. Step 2: Convert to fraction form
    9,858.44/14,786.65 = 3,283.91/x
  3. Step 3: Cross multiply
    9,858.44x = 14,786.65 × 3,283.91
  4. Step 4: Simplify right side
    9,858.44x = 48,558,011.38
  5. Step 5: Solve for x
    x = 48,558,011.38/9,858.44
  6. Step 6: Final answer
    x = 4,925.53

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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.