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Finding the Fourth Proportional to 9,069.94, 13,595.31 and 5,165.98

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Solution

The fourth proportional to 9,069.94, 13,595.31 and 5,165.98 is: 7,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069.94 : 13,595.31 = 5,165.98 : x
  2. Step 2: Convert to fraction form
    9,069.94/13,595.31 = 5,165.98/x
  3. Step 3: Cross multiply
    9,069.94x = 13,595.31 × 5,165.98
  4. Step 4: Simplify right side
    9,069.94x = 70,233,099.55
  5. Step 5: Solve for x
    x = 70,233,099.55/9,069.94
  6. Step 6: Final answer
    x = 7,743.50

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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.