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Finding the Fourth Proportional to 9,420.77, 13,000.43 and 5,228.75

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Solution

The fourth proportional to 9,420.77, 13,000.43 and 5,228.75 is: 7,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.77 : 13,000.43 = 5,228.75 : x
  2. Step 2: Convert to fraction form
    9,420.77/13,000.43 = 5,228.75/x
  3. Step 3: Cross multiply
    9,420.77x = 13,000.43 × 5,228.75
  4. Step 4: Simplify right side
    9,420.77x = 67,975,972.22
  5. Step 5: Solve for x
    x = 67,975,972.22/9,420.77
  6. Step 6: Final answer
    x = 7,215.54

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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.