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Finding the Fourth Proportional to 9,202.20, 12,698.64 and 5,010.48

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Solution

The fourth proportional to 9,202.20, 12,698.64 and 5,010.48 is: 6,914.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.20 : 12,698.64 = 5,010.48 : x
  2. Step 2: Convert to fraction form
    9,202.20/12,698.64 = 5,010.48/x
  3. Step 3: Cross multiply
    9,202.20x = 12,698.64 × 5,010.48
  4. Step 4: Simplify right side
    9,202.20x = 63,626,281.75
  5. Step 5: Solve for x
    x = 63,626,281.75/9,202.20
  6. Step 6: Final answer
    x = 6,914.25

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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.