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Finding the Fourth Proportional to 9,596.25, 13,247.27 and 6,765.93

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Solution

The fourth proportional to 9,596.25, 13,247.27 and 6,765.93 is: 9,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.25 : 13,247.27 = 6,765.93 : x
  2. Step 2: Convert to fraction form
    9,596.25/13,247.27 = 6,765.93/x
  3. Step 3: Cross multiply
    9,596.25x = 13,247.27 × 6,765.93
  4. Step 4: Simplify right side
    9,596.25x = 89,630,101.51
  5. Step 5: Solve for x
    x = 89,630,101.51/9,596.25
  6. Step 6: Final answer
    x = 9,340.12

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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.