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Finding the Fourth Proportional to 6,763.76, 9,335.46 and 4,110.64

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Solution

The fourth proportional to 6,763.76, 9,335.46 and 4,110.64 is: 5,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.76 : 9,335.46 = 4,110.64 : x
  2. Step 2: Convert to fraction form
    6,763.76/9,335.46 = 4,110.64/x
  3. Step 3: Cross multiply
    6,763.76x = 9,335.46 × 4,110.64
  4. Step 4: Simplify right side
    6,763.76x = 38,374,715.29
  5. Step 5: Solve for x
    x = 38,374,715.29/6,763.76
  6. Step 6: Final answer
    x = 5,673.58

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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.