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Finding the Fourth Proportional to 9,697.77, 13,382.42 and 5,449

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Solution

The fourth proportional to 9,697.77, 13,382.42 and 5,449 is: 7,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.77 : 13,382.42 = 5,449 : x
  2. Step 2: Convert to fraction form
    9,697.77/13,382.42 = 5,449/x
  3. Step 3: Cross multiply
    9,697.77x = 13,382.42 × 5,449
  4. Step 4: Simplify right side
    9,697.77x = 72,920,779.34
  5. Step 5: Solve for x
    x = 72,920,779.34/9,697.77
  6. Step 6: Final answer
    x = 7,519.33

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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.