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Finding the Fourth Proportional to 9,293.15, 13,939.75 and 6,532.17

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Solution

The fourth proportional to 9,293.15, 13,939.75 and 6,532.17 is: 9,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.15 : 13,939.75 = 6,532.17 : x
  2. Step 2: Convert to fraction form
    9,293.15/13,939.75 = 6,532.17/x
  3. Step 3: Cross multiply
    9,293.15x = 13,939.75 × 6,532.17
  4. Step 4: Simplify right side
    9,293.15x = 91,056,775.11
  5. Step 5: Solve for x
    x = 91,056,775.11/9,293.15
  6. Step 6: Final answer
    x = 9,798.27

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