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Finding the Fourth Proportional to 9,464.05, 12,965.80 and 9,109.35

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Solution

The fourth proportional to 9,464.05, 12,965.80 and 9,109.35 is: 12,479.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.05 : 12,965.80 = 9,109.35 : x
  2. Step 2: Convert to fraction form
    9,464.05/12,965.80 = 9,109.35/x
  3. Step 3: Cross multiply
    9,464.05x = 12,965.80 × 9,109.35
  4. Step 4: Simplify right side
    9,464.05x = 118,110,010.23
  5. Step 5: Solve for x
    x = 118,110,010.23/9,464.05
  6. Step 6: Final answer
    x = 12,479.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.