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Finding the Fourth Proportional to 6,733.62, 9,291.78 and 4,966.20

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Solution

The fourth proportional to 6,733.62, 9,291.78 and 4,966.20 is: 6,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.62 : 9,291.78 = 4,966.20 : x
  2. Step 2: Convert to fraction form
    6,733.62/9,291.78 = 4,966.20/x
  3. Step 3: Cross multiply
    6,733.62x = 9,291.78 × 4,966.20
  4. Step 4: Simplify right side
    6,733.62x = 46,144,837.84
  5. Step 5: Solve for x
    x = 46,144,837.84/6,733.62
  6. Step 6: Final answer
    x = 6,852.90

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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.