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Finding the Fourth Proportional to 9,316.38, 12,855.96 and 5,539.36

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Solution

The fourth proportional to 9,316.38, 12,855.96 and 5,539.36 is: 7,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.38 : 12,855.96 = 5,539.36 : x
  2. Step 2: Convert to fraction form
    9,316.38/12,855.96 = 5,539.36/x
  3. Step 3: Cross multiply
    9,316.38x = 12,855.96 × 5,539.36
  4. Step 4: Simplify right side
    9,316.38x = 71,213,790.59
  5. Step 5: Solve for x
    x = 71,213,790.59/9,316.38
  6. Step 6: Final answer
    x = 7,643.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.