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Finding the Fourth Proportional to 9,270.74, 12,796.74 and 5,636.76

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Solution

The fourth proportional to 9,270.74, 12,796.74 and 5,636.76 is: 7,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.74 : 12,796.74 = 5,636.76 : x
  2. Step 2: Convert to fraction form
    9,270.74/12,796.74 = 5,636.76/x
  3. Step 3: Cross multiply
    9,270.74x = 12,796.74 × 5,636.76
  4. Step 4: Simplify right side
    9,270.74x = 72,132,152.16
  5. Step 5: Solve for x
    x = 72,132,152.16/9,270.74
  6. Step 6: Final answer
    x = 7,780.63

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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.