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Finding the Fourth Proportional to 9,425.76, 13,006.56 and 5,446.56

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Solution

The fourth proportional to 9,425.76, 13,006.56 and 5,446.56 is: 7,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.76 : 13,006.56 = 5,446.56 : x
  2. Step 2: Convert to fraction form
    9,425.76/13,006.56 = 5,446.56/x
  3. Step 3: Cross multiply
    9,425.76x = 13,006.56 × 5,446.56
  4. Step 4: Simplify right side
    9,425.76x = 70,841,009.43
  5. Step 5: Solve for x
    x = 70,841,009.43/9,425.76
  6. Step 6: Final answer
    x = 7,515.68

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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.