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Finding the Fourth Proportional to 9,046.75, 13,564.30 and 3,780.35

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Solution

The fourth proportional to 9,046.75, 13,564.30 and 3,780.35 is: 5,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.75 : 13,564.30 = 3,780.35 : x
  2. Step 2: Convert to fraction form
    9,046.75/13,564.30 = 3,780.35/x
  3. Step 3: Cross multiply
    9,046.75x = 13,564.30 × 3,780.35
  4. Step 4: Simplify right side
    9,046.75x = 51,277,801.51
  5. Step 5: Solve for x
    x = 51,277,801.51/9,046.75
  6. Step 6: Final answer
    x = 5,668.09

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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.