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Finding the Fourth Proportional to 9,486.17, 13,090.92 and 5,294.42

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Solution

The fourth proportional to 9,486.17, 13,090.92 and 5,294.42 is: 7,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.17 : 13,090.92 = 5,294.42 : x
  2. Step 2: Convert to fraction form
    9,486.17/13,090.92 = 5,294.42/x
  3. Step 3: Cross multiply
    9,486.17x = 13,090.92 × 5,294.42
  4. Step 4: Simplify right side
    9,486.17x = 69,308,763.21
  5. Step 5: Solve for x
    x = 69,308,763.21/9,486.17
  6. Step 6: Final answer
    x = 7,306.30

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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.