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Finding the Fourth Proportional to 9,407.40, 14,110.74 and 3,563.88

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Solution

The fourth proportional to 9,407.40, 14,110.74 and 3,563.88 is: 5,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.40 : 14,110.74 = 3,563.88 : x
  2. Step 2: Convert to fraction form
    9,407.40/14,110.74 = 3,563.88/x
  3. Step 3: Cross multiply
    9,407.40x = 14,110.74 × 3,563.88
  4. Step 4: Simplify right side
    9,407.40x = 50,288,984.07
  5. Step 5: Solve for x
    x = 50,288,984.07/9,407.40
  6. Step 6: Final answer
    x = 5,345.68

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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.