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Finding the Fourth Proportional to 9,949.67, 13,718.50 and 7,292.46

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Solution

The fourth proportional to 9,949.67, 13,718.50 and 7,292.46 is: 10,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.67 : 13,718.50 = 7,292.46 : x
  2. Step 2: Convert to fraction form
    9,949.67/13,718.50 = 7,292.46/x
  3. Step 3: Cross multiply
    9,949.67x = 13,718.50 × 7,292.46
  4. Step 4: Simplify right side
    9,949.67x = 100,041,645.72
  5. Step 5: Solve for x
    x = 100,041,645.72/9,949.67
  6. Step 6: Final answer
    x = 10,054.77

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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.