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Finding the Fourth Proportional to 9,459.07, 13,054.55 and 5,923.42

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Solution

The fourth proportional to 9,459.07, 13,054.55 and 5,923.42 is: 8,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.07 : 13,054.55 = 5,923.42 : x
  2. Step 2: Convert to fraction form
    9,459.07/13,054.55 = 5,923.42/x
  3. Step 3: Cross multiply
    9,459.07x = 13,054.55 × 5,923.42
  4. Step 4: Simplify right side
    9,459.07x = 77,327,520.31
  5. Step 5: Solve for x
    x = 77,327,520.31/9,459.07
  6. Step 6: Final answer
    x = 8,174.96

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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.