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Finding the Fourth Proportional to 9,941.52, 13,716.86 and 7,355.46

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Solution

The fourth proportional to 9,941.52, 13,716.86 and 7,355.46 is: 10,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.52 : 13,716.86 = 7,355.46 : x
  2. Step 2: Convert to fraction form
    9,941.52/13,716.86 = 7,355.46/x
  3. Step 3: Cross multiply
    9,941.52x = 13,716.86 × 7,355.46
  4. Step 4: Simplify right side
    9,941.52x = 100,893,815.06
  5. Step 5: Solve for x
    x = 100,893,815.06/9,941.52
  6. Step 6: Final answer
    x = 10,148.73

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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.