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Finding the Fourth Proportional to 9,617.25, 14,425.88 and 3,461.25

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Solution

The fourth proportional to 9,617.25, 14,425.88 and 3,461.25 is: 5,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.25 : 14,425.88 = 3,461.25 : x
  2. Step 2: Convert to fraction form
    9,617.25/14,425.88 = 3,461.25/x
  3. Step 3: Cross multiply
    9,617.25x = 14,425.88 × 3,461.25
  4. Step 4: Simplify right side
    9,617.25x = 49,931,559.84
  5. Step 5: Solve for x
    x = 49,931,559.84/9,617.25
  6. Step 6: Final answer
    x = 5,191.88

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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.