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Finding the Fourth Proportional to 9,448.67, 13,042.16 and 5,909.63

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Solution

The fourth proportional to 9,448.67, 13,042.16 and 5,909.63 is: 8,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.67 : 13,042.16 = 5,909.63 : x
  2. Step 2: Convert to fraction form
    9,448.67/13,042.16 = 5,909.63/x
  3. Step 3: Cross multiply
    9,448.67x = 13,042.16 × 5,909.63
  4. Step 4: Simplify right side
    9,448.67x = 77,074,310.45
  5. Step 5: Solve for x
    x = 77,074,310.45/9,448.67
  6. Step 6: Final answer
    x = 8,157.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.