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Finding the Fourth Proportional to 10,314.87, 14,225.73 and 6,953.27

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Solution

The fourth proportional to 10,314.87, 14,225.73 and 6,953.27 is: 9,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.87 : 14,225.73 = 6,953.27 : x
  2. Step 2: Convert to fraction form
    10,314.87/14,225.73 = 6,953.27/x
  3. Step 3: Cross multiply
    10,314.87x = 14,225.73 × 6,953.27
  4. Step 4: Simplify right side
    10,314.87x = 98,915,341.64
  5. Step 5: Solve for x
    x = 98,915,341.64/10,314.87
  6. Step 6: Final answer
    x = 9,589.59

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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.