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Finding the Fourth Proportional to 9,937.37, 13,707.27 and 7,416.78

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Solution

The fourth proportional to 9,937.37, 13,707.27 and 7,416.78 is: 10,230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.37 : 13,707.27 = 7,416.78 : x
  2. Step 2: Convert to fraction form
    9,937.37/13,707.27 = 7,416.78/x
  3. Step 3: Cross multiply
    9,937.37x = 13,707.27 × 7,416.78
  4. Step 4: Simplify right side
    9,937.37x = 101,663,805.99
  5. Step 5: Solve for x
    x = 101,663,805.99/9,937.37
  6. Step 6: Final answer
    x = 10,230.46

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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.