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Finding the Fourth Proportional to 9,400.99, 12,972.75 and 5,152

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Solution

The fourth proportional to 9,400.99, 12,972.75 and 5,152 is: 7,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.99 : 12,972.75 = 5,152 : x
  2. Step 2: Convert to fraction form
    9,400.99/12,972.75 = 5,152/x
  3. Step 3: Cross multiply
    9,400.99x = 12,972.75 × 5,152
  4. Step 4: Simplify right side
    9,400.99x = 66,835,608
  5. Step 5: Solve for x
    x = 66,835,608/9,400.99
  6. Step 6: Final answer
    x = 7,109.42

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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.