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Finding the Fourth Proportional to 9,076.51, 13,616.37 and 4,146.65

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Solution

The fourth proportional to 9,076.51, 13,616.37 and 4,146.65 is: 6,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.51 : 13,616.37 = 4,146.65 : x
  2. Step 2: Convert to fraction form
    9,076.51/13,616.37 = 4,146.65/x
  3. Step 3: Cross multiply
    9,076.51x = 13,616.37 × 4,146.65
  4. Step 4: Simplify right side
    9,076.51x = 56,462,320.66
  5. Step 5: Solve for x
    x = 56,462,320.66/9,076.51
  6. Step 6: Final answer
    x = 6,220.71

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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.