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Finding the Fourth Proportional to 10,097.25, 13,940.73 and 6,565.65

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Solution

The fourth proportional to 10,097.25, 13,940.73 and 6,565.65 is: 9,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.25 : 13,940.73 = 6,565.65 : x
  2. Step 2: Convert to fraction form
    10,097.25/13,940.73 = 6,565.65/x
  3. Step 3: Cross multiply
    10,097.25x = 13,940.73 × 6,565.65
  4. Step 4: Simplify right side
    10,097.25x = 91,529,953.92
  5. Step 5: Solve for x
    x = 91,529,953.92/10,097.25
  6. Step 6: Final answer
    x = 9,064.84

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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.