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Finding the Fourth Proportional to 9,696.98, 14,545.54 and 3,457.25

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Solution

The fourth proportional to 9,696.98, 14,545.54 and 3,457.25 is: 5,185.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.98 : 14,545.54 = 3,457.25 : x
  2. Step 2: Convert to fraction form
    9,696.98/14,545.54 = 3,457.25/x
  3. Step 3: Cross multiply
    9,696.98x = 14,545.54 × 3,457.25
  4. Step 4: Simplify right side
    9,696.98x = 50,287,554.30
  5. Step 5: Solve for x
    x = 50,287,554.30/9,696.98
  6. Step 6: Final answer
    x = 5,185.90

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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.