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Finding the Fourth Proportional to 9,656.38, 14,458.23 and 7,309.27

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Solution

The fourth proportional to 9,656.38, 14,458.23 and 7,309.27 is: 10,943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.38 : 14,458.23 = 7,309.27 : x
  2. Step 2: Convert to fraction form
    9,656.38/14,458.23 = 7,309.27/x
  3. Step 3: Cross multiply
    9,656.38x = 14,458.23 × 7,309.27
  4. Step 4: Simplify right side
    9,656.38x = 105,679,124.86
  5. Step 5: Solve for x
    x = 105,679,124.86/9,656.38
  6. Step 6: Final answer
    x = 10,943.97

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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.