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Finding the Fourth Proportional to 9,029.66, 13,532.94 and 7,854.75

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Solution

The fourth proportional to 9,029.66, 13,532.94 and 7,854.75 is: 11,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.66 : 13,532.94 = 7,854.75 : x
  2. Step 2: Convert to fraction form
    9,029.66/13,532.94 = 7,854.75/x
  3. Step 3: Cross multiply
    9,029.66x = 13,532.94 × 7,854.75
  4. Step 4: Simplify right side
    9,029.66x = 106,297,860.47
  5. Step 5: Solve for x
    x = 106,297,860.47/9,029.66
  6. Step 6: Final answer
    x = 11,772.08

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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.