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Finding the Fourth Proportional to 9,697.80, 13,381.80 and 5,449.08

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Solution

The fourth proportional to 9,697.80, 13,381.80 and 5,449.08 is: 7,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.80 : 13,381.80 = 5,449.08 : x
  2. Step 2: Convert to fraction form
    9,697.80/13,381.80 = 5,449.08/x
  3. Step 3: Cross multiply
    9,697.80x = 13,381.80 × 5,449.08
  4. Step 4: Simplify right side
    9,697.80x = 72,918,498.74
  5. Step 5: Solve for x
    x = 72,918,498.74/9,697.80
  6. Step 6: Final answer
    x = 7,519.08

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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.