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Finding the Fourth Proportional to 9,406.58, 14,109.72 and 2,290.88

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Solution

The fourth proportional to 9,406.58, 14,109.72 and 2,290.88 is: 3,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.58 : 14,109.72 = 2,290.88 : x
  2. Step 2: Convert to fraction form
    9,406.58/14,109.72 = 2,290.88/x
  3. Step 3: Cross multiply
    9,406.58x = 14,109.72 × 2,290.88
  4. Step 4: Simplify right side
    9,406.58x = 32,323,649.13
  5. Step 5: Solve for x
    x = 32,323,649.13/9,406.58
  6. Step 6: Final answer
    x = 3,436.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.