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Finding the Fourth Proportional to 9,699.68, 13,385.88 and 5,451.48

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Solution

The fourth proportional to 9,699.68, 13,385.88 and 5,451.48 is: 7,523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.68 : 13,385.88 = 5,451.48 : x
  2. Step 2: Convert to fraction form
    9,699.68/13,385.88 = 5,451.48/x
  3. Step 3: Cross multiply
    9,699.68x = 13,385.88 × 5,451.48
  4. Step 4: Simplify right side
    9,699.68x = 72,972,857.10
  5. Step 5: Solve for x
    x = 72,972,857.10/9,699.68
  6. Step 6: Final answer
    x = 7,523.22

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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.