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Finding the Fourth Proportional to 6,202.36, 9,346.18 and 5,130.74

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Solution

The fourth proportional to 6,202.36, 9,346.18 and 5,130.74 is: 7,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.36 : 9,346.18 = 5,130.74 : x
  2. Step 2: Convert to fraction form
    6,202.36/9,346.18 = 5,130.74/x
  3. Step 3: Cross multiply
    6,202.36x = 9,346.18 × 5,130.74
  4. Step 4: Simplify right side
    6,202.36x = 47,952,819.57
  5. Step 5: Solve for x
    x = 47,952,819.57/6,202.36
  6. Step 6: Final answer
    x = 7,731.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.