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Finding the Fourth Proportional to 9,469.68, 13,066.96 and 5,490.24

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Solution

The fourth proportional to 9,469.68, 13,066.96 and 5,490.24 is: 7,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.68 : 13,066.96 = 5,490.24 : x
  2. Step 2: Convert to fraction form
    9,469.68/13,066.96 = 5,490.24/x
  3. Step 3: Cross multiply
    9,469.68x = 13,066.96 × 5,490.24
  4. Step 4: Simplify right side
    9,469.68x = 71,740,746.47
  5. Step 5: Solve for x
    x = 71,740,746.47/9,469.68
  6. Step 6: Final answer
    x = 7,575.84

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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.