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Finding the Fourth Proportional to 9,382.56, 14,060.68 and 7,293

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Solution

The fourth proportional to 9,382.56, 14,060.68 and 7,293 is: 10,929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.56 : 14,060.68 = 7,293 : x
  2. Step 2: Convert to fraction form
    9,382.56/14,060.68 = 7,293/x
  3. Step 3: Cross multiply
    9,382.56x = 14,060.68 × 7,293
  4. Step 4: Simplify right side
    9,382.56x = 102,544,539.24
  5. Step 5: Solve for x
    x = 102,544,539.24/9,382.56
  6. Step 6: Final answer
    x = 10,929.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.