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Finding the Fourth Proportional to 6,493.47, 9,749.21 and 3,333.15

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Solution

The fourth proportional to 6,493.47, 9,749.21 and 3,333.15 is: 5,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.47 : 9,749.21 = 3,333.15 : x
  2. Step 2: Convert to fraction form
    6,493.47/9,749.21 = 3,333.15/x
  3. Step 3: Cross multiply
    6,493.47x = 9,749.21 × 3,333.15
  4. Step 4: Simplify right side
    6,493.47x = 32,495,579.31
  5. Step 5: Solve for x
    x = 32,495,579.31/6,493.47
  6. Step 6: Final answer
    x = 5,004.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.