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Finding the Fourth Proportional to 9,029.88, 13,547.51 and 3,836.16

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Solution

The fourth proportional to 9,029.88, 13,547.51 and 3,836.16 is: 5,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.88 : 13,547.51 = 3,836.16 : x
  2. Step 2: Convert to fraction form
    9,029.88/13,547.51 = 3,836.16/x
  3. Step 3: Cross multiply
    9,029.88x = 13,547.51 × 3,836.16
  4. Step 4: Simplify right side
    9,029.88x = 51,970,415.96
  5. Step 5: Solve for x
    x = 51,970,415.96/9,029.88
  6. Step 6: Final answer
    x = 5,755.38

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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.