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Finding the Fourth Proportional to 9,530.13, 13,152.06 and 5,753.24

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Solution

The fourth proportional to 9,530.13, 13,152.06 and 5,753.24 is: 7,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.13 : 13,152.06 = 5,753.24 : x
  2. Step 2: Convert to fraction form
    9,530.13/13,152.06 = 5,753.24/x
  3. Step 3: Cross multiply
    9,530.13x = 13,152.06 × 5,753.24
  4. Step 4: Simplify right side
    9,530.13x = 75,666,891.91
  5. Step 5: Solve for x
    x = 75,666,891.91/9,530.13
  6. Step 6: Final answer
    x = 7,939.75

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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.