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Finding the Fourth Proportional to 9,029.84, 13,538.28 and 3,832.88

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Solution

The fourth proportional to 9,029.84, 13,538.28 and 3,832.88 is: 5,746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.84 : 13,538.28 = 3,832.88 : x
  2. Step 2: Convert to fraction form
    9,029.84/13,538.28 = 3,832.88/x
  3. Step 3: Cross multiply
    9,029.84x = 13,538.28 × 3,832.88
  4. Step 4: Simplify right side
    9,029.84x = 51,890,602.65
  5. Step 5: Solve for x
    x = 51,890,602.65/9,029.84
  6. Step 6: Final answer
    x = 5,746.57

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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.