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Finding the Fourth Proportional to 9,420.26, 13,000.08 and 5,228.50

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Solution

The fourth proportional to 9,420.26, 13,000.08 and 5,228.50 is: 7,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.26 : 13,000.08 = 5,228.50 : x
  2. Step 2: Convert to fraction form
    9,420.26/13,000.08 = 5,228.50/x
  3. Step 3: Cross multiply
    9,420.26x = 13,000.08 × 5,228.50
  4. Step 4: Simplify right side
    9,420.26x = 67,970,918.28
  5. Step 5: Solve for x
    x = 67,970,918.28/9,420.26
  6. Step 6: Final answer
    x = 7,215.40

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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.