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Finding the Fourth Proportional to 9,536.82, 14,305.23 and 7,779.93

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Solution

The fourth proportional to 9,536.82, 14,305.23 and 7,779.93 is: 11,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.82 : 14,305.23 = 7,779.93 : x
  2. Step 2: Convert to fraction form
    9,536.82/14,305.23 = 7,779.93/x
  3. Step 3: Cross multiply
    9,536.82x = 14,305.23 × 7,779.93
  4. Step 4: Simplify right side
    9,536.82x = 111,293,688.03
  5. Step 5: Solve for x
    x = 111,293,688.03/9,536.82
  6. Step 6: Final answer
    x = 11,669.90

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Similar ratio
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1.5x scale

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.