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Finding the Fourth Proportional to 9,281.41, 12,801.91 and 5,742.52

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Solution

The fourth proportional to 9,281.41, 12,801.91 and 5,742.52 is: 7,920.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.41 : 12,801.91 = 5,742.52 : x
  2. Step 2: Convert to fraction form
    9,281.41/12,801.91 = 5,742.52/x
  3. Step 3: Cross multiply
    9,281.41x = 12,801.91 × 5,742.52
  4. Step 4: Simplify right side
    9,281.41x = 73,515,224.21
  5. Step 5: Solve for x
    x = 73,515,224.21/9,281.41
  6. Step 6: Final answer
    x = 7,920.70

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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.