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Finding the Fourth Proportional to 9,420.52, 13,000.44 and 5,228.80

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Solution

The fourth proportional to 9,420.52, 13,000.44 and 5,228.80 is: 7,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.52 : 13,000.44 = 5,228.80 : x
  2. Step 2: Convert to fraction form
    9,420.52/13,000.44 = 5,228.80/x
  3. Step 3: Cross multiply
    9,420.52x = 13,000.44 × 5,228.80
  4. Step 4: Simplify right side
    9,420.52x = 67,976,700.67
  5. Step 5: Solve for x
    x = 67,976,700.67/9,420.52
  6. Step 6: Final answer
    x = 7,215.81

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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.