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Finding the Fourth Proportional to 6,132.07, 9,203.87 and 4,378.82

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Solution

The fourth proportional to 6,132.07, 9,203.87 and 4,378.82 is: 6,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.07 : 9,203.87 = 4,378.82 : x
  2. Step 2: Convert to fraction form
    6,132.07/9,203.87 = 4,378.82/x
  3. Step 3: Cross multiply
    6,132.07x = 9,203.87 × 4,378.82
  4. Step 4: Simplify right side
    6,132.07x = 40,302,090.03
  5. Step 5: Solve for x
    x = 40,302,090.03/6,132.07
  6. Step 6: Final answer
    x = 6,572.35

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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.