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Finding the Fourth Proportional to 9,532.88, 13,145.16 and 5,804.24

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Solution

The fourth proportional to 9,532.88, 13,145.16 and 5,804.24 is: 8,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.88 : 13,145.16 = 5,804.24 : x
  2. Step 2: Convert to fraction form
    9,532.88/13,145.16 = 5,804.24/x
  3. Step 3: Cross multiply
    9,532.88x = 13,145.16 × 5,804.24
  4. Step 4: Simplify right side
    9,532.88x = 76,297,663.48
  5. Step 5: Solve for x
    x = 76,297,663.48/9,532.88
  6. Step 6: Final answer
    x = 8,003.63

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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.