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Finding the Fourth Proportional to 9,308.40, 12,844.76 and 5,329.20

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Solution

The fourth proportional to 9,308.40, 12,844.76 and 5,329.20 is: 7,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.40 : 12,844.76 = 5,329.20 : x
  2. Step 2: Convert to fraction form
    9,308.40/12,844.76 = 5,329.20/x
  3. Step 3: Cross multiply
    9,308.40x = 12,844.76 × 5,329.20
  4. Step 4: Simplify right side
    9,308.40x = 68,452,294.99
  5. Step 5: Solve for x
    x = 68,452,294.99/9,308.40
  6. Step 6: Final answer
    x = 7,353.82

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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.