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Finding the Fourth Proportional to 9,202.42, 12,699.48 and 5,010.67

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Solution

The fourth proportional to 9,202.42, 12,699.48 and 5,010.67 is: 6,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.42 : 12,699.48 = 5,010.67 : x
  2. Step 2: Convert to fraction form
    9,202.42/12,699.48 = 5,010.67/x
  3. Step 3: Cross multiply
    9,202.42x = 12,699.48 × 5,010.67
  4. Step 4: Simplify right side
    9,202.42x = 63,632,903.45
  5. Step 5: Solve for x
    x = 63,632,903.45/9,202.42
  6. Step 6: Final answer
    x = 6,914.80

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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.