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Finding the Fourth Proportional to 9,699.12, 13,297.32 and 9,524.16

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Solution

The fourth proportional to 9,699.12, 13,297.32 and 9,524.16 is: 13,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.12 : 13,297.32 = 9,524.16 : x
  2. Step 2: Convert to fraction form
    9,699.12/13,297.32 = 9,524.16/x
  3. Step 3: Cross multiply
    9,699.12x = 13,297.32 × 9,524.16
  4. Step 4: Simplify right side
    9,699.12x = 126,645,803.25
  5. Step 5: Solve for x
    x = 126,645,803.25/9,699.12
  6. Step 6: Final answer
    x = 13,057.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.