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Finding the Fourth Proportional to 9,796.14, 13,519.51 and 5,547.94

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Solution

The fourth proportional to 9,796.14, 13,519.51 and 5,547.94 is: 7,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.14 : 13,519.51 = 5,547.94 : x
  2. Step 2: Convert to fraction form
    9,796.14/13,519.51 = 5,547.94/x
  3. Step 3: Cross multiply
    9,796.14x = 13,519.51 × 5,547.94
  4. Step 4: Simplify right side
    9,796.14x = 75,005,458.69
  5. Step 5: Solve for x
    x = 75,005,458.69/9,796.14
  6. Step 6: Final answer
    x = 7,656.63

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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.