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Finding the Fourth Proportional to 6,784.23, 9,364.10 and 4,131.62

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Solution

The fourth proportional to 6,784.23, 9,364.10 and 4,131.62 is: 5,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.23 : 9,364.10 = 4,131.62 : x
  2. Step 2: Convert to fraction form
    6,784.23/9,364.10 = 4,131.62/x
  3. Step 3: Cross multiply
    6,784.23x = 9,364.10 × 4,131.62
  4. Step 4: Simplify right side
    6,784.23x = 38,688,835.36
  5. Step 5: Solve for x
    x = 38,688,835.36/6,784.23
  6. Step 6: Final answer
    x = 5,702.76

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