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Finding the Fourth Proportional to 9,694.56, 14,547.06 and 3,851.22

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Solution

The fourth proportional to 9,694.56, 14,547.06 and 3,851.22 is: 5,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.56 : 14,547.06 = 3,851.22 : x
  2. Step 2: Convert to fraction form
    9,694.56/14,547.06 = 3,851.22/x
  3. Step 3: Cross multiply
    9,694.56x = 14,547.06 × 3,851.22
  4. Step 4: Simplify right side
    9,694.56x = 56,023,928.41
  5. Step 5: Solve for x
    x = 56,023,928.41/9,694.56
  6. Step 6: Final answer
    x = 5,778.90

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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.