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Finding the Fourth Proportional to 9,327.68, 12,871.78 and 5,078.76

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Solution

The fourth proportional to 9,327.68, 12,871.78 and 5,078.76 is: 7,008.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.68 : 12,871.78 = 5,078.76 : x
  2. Step 2: Convert to fraction form
    9,327.68/12,871.78 = 5,078.76/x
  3. Step 3: Cross multiply
    9,327.68x = 12,871.78 × 5,078.76
  4. Step 4: Simplify right side
    9,327.68x = 65,372,681.39
  5. Step 5: Solve for x
    x = 65,372,681.39/9,327.68
  6. Step 6: Final answer
    x = 7,008.46

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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.