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Finding the Fourth Proportional to 9,466.35, 13,052.79 and 7,759.50

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Solution

The fourth proportional to 9,466.35, 13,052.79 and 7,759.50 is: 10,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.35 : 13,052.79 = 7,759.50 : x
  2. Step 2: Convert to fraction form
    9,466.35/13,052.79 = 7,759.50/x
  3. Step 3: Cross multiply
    9,466.35x = 13,052.79 × 7,759.50
  4. Step 4: Simplify right side
    9,466.35x = 101,283,124.01
  5. Step 5: Solve for x
    x = 101,283,124.01/9,466.35
  6. Step 6: Final answer
    x = 10,699.28

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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.