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Finding the Fourth Proportional to 9,309.47, 12,846.72 and 5,330.96

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Solution

The fourth proportional to 9,309.47, 12,846.72 and 5,330.96 is: 7,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.47 : 12,846.72 = 5,330.96 : x
  2. Step 2: Convert to fraction form
    9,309.47/12,846.72 = 5,330.96/x
  3. Step 3: Cross multiply
    9,309.47x = 12,846.72 × 5,330.96
  4. Step 4: Simplify right side
    9,309.47x = 68,485,259.56
  5. Step 5: Solve for x
    x = 68,485,259.56/9,309.47
  6. Step 6: Final answer
    x = 7,356.52

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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.