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Finding the Fourth Proportional to 6,880.53, 9,497.37 and 4,047.75

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Solution

The fourth proportional to 6,880.53, 9,497.37 and 4,047.75 is: 5,587.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.53 : 9,497.37 = 4,047.75 : x
  2. Step 2: Convert to fraction form
    6,880.53/9,497.37 = 4,047.75/x
  3. Step 3: Cross multiply
    6,880.53x = 9,497.37 × 4,047.75
  4. Step 4: Simplify right side
    6,880.53x = 38,442,979.42
  5. Step 5: Solve for x
    x = 38,442,979.42/6,880.53
  6. Step 6: Final answer
    x = 5,587.21

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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.