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Finding the Fourth Proportional to 9,703.44, 13,387.56 and 5,925.24

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Solution

The fourth proportional to 9,703.44, 13,387.56 and 5,925.24 is: 8,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.44 : 13,387.56 = 5,925.24 : x
  2. Step 2: Convert to fraction form
    9,703.44/13,387.56 = 5,925.24/x
  3. Step 3: Cross multiply
    9,703.44x = 13,387.56 × 5,925.24
  4. Step 4: Simplify right side
    9,703.44x = 79,324,506.01
  5. Step 5: Solve for x
    x = 79,324,506.01/9,703.44
  6. Step 6: Final answer
    x = 8,174.88

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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.