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Finding the Fourth Proportional to 9,262.31, 12,773.45 and 8,196.14

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Solution

The fourth proportional to 9,262.31, 12,773.45 and 8,196.14 is: 11,303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.31 : 12,773.45 = 8,196.14 : x
  2. Step 2: Convert to fraction form
    9,262.31/12,773.45 = 8,196.14/x
  3. Step 3: Cross multiply
    9,262.31x = 12,773.45 × 8,196.14
  4. Step 4: Simplify right side
    9,262.31x = 104,692,879.64
  5. Step 5: Solve for x
    x = 104,692,879.64/9,262.31
  6. Step 6: Final answer
    x = 11,303.11

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1.5x scale

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.