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Finding the Fourth Proportional to 9,052.16, 13,566.69 and 7,877.25

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Solution

The fourth proportional to 9,052.16, 13,566.69 and 7,877.25 is: 11,805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.16 : 13,566.69 = 7,877.25 : x
  2. Step 2: Convert to fraction form
    9,052.16/13,566.69 = 7,877.25/x
  3. Step 3: Cross multiply
    9,052.16x = 13,566.69 × 7,877.25
  4. Step 4: Simplify right side
    9,052.16x = 106,868,208.80
  5. Step 5: Solve for x
    x = 106,868,208.80/9,052.16
  6. Step 6: Final answer
    x = 11,805.83

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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.