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Finding the Fourth Proportional to 10,345.92, 14,270.94 and 9,022.80

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Solution

The fourth proportional to 10,345.92, 14,270.94 and 9,022.80 is: 12,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,345.92 : 14,270.94 = 9,022.80 : x
  2. Step 2: Convert to fraction form
    10,345.92/14,270.94 = 9,022.80/x
  3. Step 3: Cross multiply
    10,345.92x = 14,270.94 × 9,022.80
  4. Step 4: Simplify right side
    10,345.92x = 128,763,837.43
  5. Step 5: Solve for x
    x = 128,763,837.43/10,345.92
  6. Step 6: Final answer
    x = 12,445.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.