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Finding the Fourth Proportional to 9,515.95, 14,338.14 and 7,886.28

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Solution

The fourth proportional to 9,515.95, 14,338.14 and 7,886.28 is: 11,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.95 : 14,338.14 = 7,886.28 : x
  2. Step 2: Convert to fraction form
    9,515.95/14,338.14 = 7,886.28/x
  3. Step 3: Cross multiply
    9,515.95x = 14,338.14 × 7,886.28
  4. Step 4: Simplify right side
    9,515.95x = 113,074,610.91
  5. Step 5: Solve for x
    x = 113,074,610.91/9,515.95
  6. Step 6: Final answer
    x = 11,882.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.