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Finding the Fourth Proportional to 9,275.20, 12,796.54 and 5,293.48

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Solution

The fourth proportional to 9,275.20, 12,796.54 and 5,293.48 is: 7,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.20 : 12,796.54 = 5,293.48 : x
  2. Step 2: Convert to fraction form
    9,275.20/12,796.54 = 5,293.48/x
  3. Step 3: Cross multiply
    9,275.20x = 12,796.54 × 5,293.48
  4. Step 4: Simplify right side
    9,275.20x = 67,738,228.56
  5. Step 5: Solve for x
    x = 67,738,228.56/9,275.20
  6. Step 6: Final answer
    x = 7,303.16

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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.