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Finding the Fourth Proportional to 9,465.14, 13,042.68 and 7,327.76

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Solution

The fourth proportional to 9,465.14, 13,042.68 and 7,327.76 is: 10,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.14 : 13,042.68 = 7,327.76 : x
  2. Step 2: Convert to fraction form
    9,465.14/13,042.68 = 7,327.76/x
  3. Step 3: Cross multiply
    9,465.14x = 13,042.68 × 7,327.76
  4. Step 4: Simplify right side
    9,465.14x = 95,573,628.80
  5. Step 5: Solve for x
    x = 95,573,628.80/9,465.14
  6. Step 6: Final answer
    x = 10,097.43

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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.