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Finding the Fourth Proportional to 9,750.98, 13,459.77 and 6,213.51

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Solution

The fourth proportional to 9,750.98, 13,459.77 and 6,213.51 is: 8,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.98 : 13,459.77 = 6,213.51 : x
  2. Step 2: Convert to fraction form
    9,750.98/13,459.77 = 6,213.51/x
  3. Step 3: Cross multiply
    9,750.98x = 13,459.77 × 6,213.51
  4. Step 4: Simplify right side
    9,750.98x = 83,632,415.49
  5. Step 5: Solve for x
    x = 83,632,415.49/9,750.98
  6. Step 6: Final answer
    x = 8,576.82

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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.