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Finding the Fourth Proportional to 9,308.40, 13,962.60 and 5,420.40

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Solution

The fourth proportional to 9,308.40, 13,962.60 and 5,420.40 is: 8,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.40 : 13,962.60 = 5,420.40 : x
  2. Step 2: Convert to fraction form
    9,308.40/13,962.60 = 5,420.40/x
  3. Step 3: Cross multiply
    9,308.40x = 13,962.60 × 5,420.40
  4. Step 4: Simplify right side
    9,308.40x = 75,682,877.04
  5. Step 5: Solve for x
    x = 75,682,877.04/9,308.40
  6. Step 6: Final answer
    x = 8,130.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.