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Finding the Fourth Proportional to 9,511.70, 13,124.04 and 5,973.62

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Solution

The fourth proportional to 9,511.70, 13,124.04 and 5,973.62 is: 8,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.70 : 13,124.04 = 5,973.62 : x
  2. Step 2: Convert to fraction form
    9,511.70/13,124.04 = 5,973.62/x
  3. Step 3: Cross multiply
    9,511.70x = 13,124.04 × 5,973.62
  4. Step 4: Simplify right side
    9,511.70x = 78,398,027.82
  5. Step 5: Solve for x
    x = 78,398,027.82/9,511.70
  6. Step 6: Final answer
    x = 8,242.27

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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.