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Finding the Fourth Proportional to 9,608.75, 13,271.01 and 6,459.47

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Solution

The fourth proportional to 9,608.75, 13,271.01 and 6,459.47 is: 8,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.75 : 13,271.01 = 6,459.47 : x
  2. Step 2: Convert to fraction form
    9,608.75/13,271.01 = 6,459.47/x
  3. Step 3: Cross multiply
    9,608.75x = 13,271.01 × 6,459.47
  4. Step 4: Simplify right side
    9,608.75x = 85,723,690.96
  5. Step 5: Solve for x
    x = 85,723,690.96/9,608.75
  6. Step 6: Final answer
    x = 8,921.42

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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.