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Finding the Fourth Proportional to 9,536.41, 13,146.63 and 7,855.15

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Solution

The fourth proportional to 9,536.41, 13,146.63 and 7,855.15 is: 10,828.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.41 : 13,146.63 = 7,855.15 : x
  2. Step 2: Convert to fraction form
    9,536.41/13,146.63 = 7,855.15/x
  3. Step 3: Cross multiply
    9,536.41x = 13,146.63 × 7,855.15
  4. Step 4: Simplify right side
    9,536.41x = 103,268,750.64
  5. Step 5: Solve for x
    x = 103,268,750.64/9,536.41
  6. Step 6: Final answer
    x = 10,828.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.