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Finding the Fourth Proportional to 6,880.12, 9,497.04 and 4,085.64

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Solution

The fourth proportional to 6,880.12, 9,497.04 and 4,085.64 is: 5,639.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.12 : 9,497.04 = 4,085.64 : x
  2. Step 2: Convert to fraction form
    6,880.12/9,497.04 = 4,085.64/x
  3. Step 3: Cross multiply
    6,880.12x = 9,497.04 × 4,085.64
  4. Step 4: Simplify right side
    6,880.12x = 38,801,486.51
  5. Step 5: Solve for x
    x = 38,801,486.51/6,880.12
  6. Step 6: Final answer
    x = 5,639.65

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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.