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Finding the Fourth Proportional to 6,740.16, 9,302.88 and 4,255.68

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Solution

The fourth proportional to 6,740.16, 9,302.88 and 4,255.68 is: 5,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.16 : 9,302.88 = 4,255.68 : x
  2. Step 2: Convert to fraction form
    6,740.16/9,302.88 = 4,255.68/x
  3. Step 3: Cross multiply
    6,740.16x = 9,302.88 × 4,255.68
  4. Step 4: Simplify right side
    6,740.16x = 39,590,080.36
  5. Step 5: Solve for x
    x = 39,590,080.36/6,740.16
  6. Step 6: Final answer
    x = 5,873.76

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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.