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Finding the Fourth Proportional to 9,046.71, 13,575.87 and 3,852.63

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Solution

The fourth proportional to 9,046.71, 13,575.87 and 3,852.63 is: 5,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.71 : 13,575.87 = 3,852.63 : x
  2. Step 2: Convert to fraction form
    9,046.71/13,575.87 = 3,852.63/x
  3. Step 3: Cross multiply
    9,046.71x = 13,575.87 × 3,852.63
  4. Step 4: Simplify right side
    9,046.71x = 52,302,804.04
  5. Step 5: Solve for x
    x = 52,302,804.04/9,046.71
  6. Step 6: Final answer
    x = 5,781.42

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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.