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Finding the Fourth Proportional to 9,910.25, 14,858.74 and 5,225.31

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Solution

The fourth proportional to 9,910.25, 14,858.74 and 5,225.31 is: 7,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.25 : 14,858.74 = 5,225.31 : x
  2. Step 2: Convert to fraction form
    9,910.25/14,858.74 = 5,225.31/x
  3. Step 3: Cross multiply
    9,910.25x = 14,858.74 × 5,225.31
  4. Step 4: Simplify right side
    9,910.25x = 77,641,529.24
  5. Step 5: Solve for x
    x = 77,641,529.24/9,910.25
  6. Step 6: Final answer
    x = 7,834.47

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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.