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Finding the Fourth Proportional to 9,275.96, 12,801.52 and 5,741.24

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Solution

The fourth proportional to 9,275.96, 12,801.52 and 5,741.24 is: 7,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.96 : 12,801.52 = 5,741.24 : x
  2. Step 2: Convert to fraction form
    9,275.96/12,801.52 = 5,741.24/x
  3. Step 3: Cross multiply
    9,275.96x = 12,801.52 × 5,741.24
  4. Step 4: Simplify right side
    9,275.96x = 73,496,598.68
  5. Step 5: Solve for x
    x = 73,496,598.68/9,275.96
  6. Step 6: Final answer
    x = 7,923.34

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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.