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Finding the Fourth Proportional to 6,781, 9,354 and 4,656.64

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Solution

The fourth proportional to 6,781, 9,354 and 4,656.64 is: 6,423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781 : 9,354 = 4,656.64 : x
  2. Step 2: Convert to fraction form
    6,781/9,354 = 4,656.64/x
  3. Step 3: Cross multiply
    6,781x = 9,354 × 4,656.64
  4. Step 4: Simplify right side
    6,781x = 43,558,210.56
  5. Step 5: Solve for x
    x = 43,558,210.56/6,781
  6. Step 6: Final answer
    x = 6,423.57

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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.