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Finding the Fourth Proportional to 9,202.38, 12,699.28 and 5,010.63

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Solution

The fourth proportional to 9,202.38, 12,699.28 and 5,010.63 is: 6,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.38 : 12,699.28 = 5,010.63 : x
  2. Step 2: Convert to fraction form
    9,202.38/12,699.28 = 5,010.63/x
  3. Step 3: Cross multiply
    9,202.38x = 12,699.28 × 5,010.63
  4. Step 4: Simplify right side
    9,202.38x = 63,631,393.35
  5. Step 5: Solve for x
    x = 63,631,393.35/9,202.38
  6. Step 6: Final answer
    x = 6,914.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.