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Finding the Fourth Proportional to 6,237.34, 9,356.02 and 4,161.40

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Solution

The fourth proportional to 6,237.34, 9,356.02 and 4,161.40 is: 6,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.34 : 9,356.02 = 4,161.40 : x
  2. Step 2: Convert to fraction form
    6,237.34/9,356.02 = 4,161.40/x
  3. Step 3: Cross multiply
    6,237.34x = 9,356.02 × 4,161.40
  4. Step 4: Simplify right side
    6,237.34x = 38,934,107.83
  5. Step 5: Solve for x
    x = 38,934,107.83/6,237.34
  6. Step 6: Final answer
    x = 6,242.10

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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.