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Finding the Fourth Proportional to 9,484.82, 13,090.29 and 5,293.94

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Solution

The fourth proportional to 9,484.82, 13,090.29 and 5,293.94 is: 7,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.82 : 13,090.29 = 5,293.94 : x
  2. Step 2: Convert to fraction form
    9,484.82/13,090.29 = 5,293.94/x
  3. Step 3: Cross multiply
    9,484.82x = 13,090.29 × 5,293.94
  4. Step 4: Simplify right side
    9,484.82x = 69,299,209.84
  5. Step 5: Solve for x
    x = 69,299,209.84/9,484.82
  6. Step 6: Final answer
    x = 7,306.33

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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.