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Finding the Fourth Proportional to 9,281.59, 12,811.06 and 5,742.80

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Solution

The fourth proportional to 9,281.59, 12,811.06 and 5,742.80 is: 7,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.59 : 12,811.06 = 5,742.80 : x
  2. Step 2: Convert to fraction form
    9,281.59/12,811.06 = 5,742.80/x
  3. Step 3: Cross multiply
    9,281.59x = 12,811.06 × 5,742.80
  4. Step 4: Simplify right side
    9,281.59x = 73,571,346.53
  5. Step 5: Solve for x
    x = 73,571,346.53/9,281.59
  6. Step 6: Final answer
    x = 7,926.59

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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.