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Finding the Fourth Proportional to 9,482.89, 13,086.36 and 5,291.14

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Solution

The fourth proportional to 9,482.89, 13,086.36 and 5,291.14 is: 7,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.89 : 13,086.36 = 5,291.14 : x
  2. Step 2: Convert to fraction form
    9,482.89/13,086.36 = 5,291.14/x
  3. Step 3: Cross multiply
    9,482.89x = 13,086.36 × 5,291.14
  4. Step 4: Simplify right side
    9,482.89x = 69,241,762.85
  5. Step 5: Solve for x
    x = 69,241,762.85/9,482.89
  6. Step 6: Final answer
    x = 7,301.76

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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.