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Finding the Fourth Proportional to 9,953.28, 13,730.93 and 5,967.48

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Solution

The fourth proportional to 9,953.28, 13,730.93 and 5,967.48 is: 8,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.28 : 13,730.93 = 5,967.48 : x
  2. Step 2: Convert to fraction form
    9,953.28/13,730.93 = 5,967.48/x
  3. Step 3: Cross multiply
    9,953.28x = 13,730.93 × 5,967.48
  4. Step 4: Simplify right side
    9,953.28x = 81,939,050.16
  5. Step 5: Solve for x
    x = 81,939,050.16/9,953.28
  6. Step 6: Final answer
    x = 8,232.37

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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.