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Finding the Fourth Proportional to 9,545.40, 14,291.64 and 7,198.29

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Solution

The fourth proportional to 9,545.40, 14,291.64 and 7,198.29 is: 10,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.40 : 14,291.64 = 7,198.29 : x
  2. Step 2: Convert to fraction form
    9,545.40/14,291.64 = 7,198.29/x
  3. Step 3: Cross multiply
    9,545.40x = 14,291.64 × 7,198.29
  4. Step 4: Simplify right side
    9,545.40x = 102,875,369.30
  5. Step 5: Solve for x
    x = 102,875,369.30/9,545.40
  6. Step 6: Final answer
    x = 10,777.48

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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.