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Finding the Fourth Proportional to 6,877.62, 9,491.14 and 4,225.02

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Solution

The fourth proportional to 6,877.62, 9,491.14 and 4,225.02 is: 5,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.62 : 9,491.14 = 4,225.02 : x
  2. Step 2: Convert to fraction form
    6,877.62/9,491.14 = 4,225.02/x
  3. Step 3: Cross multiply
    6,877.62x = 9,491.14 × 4,225.02
  4. Step 4: Simplify right side
    6,877.62x = 40,100,256.32
  5. Step 5: Solve for x
    x = 40,100,256.32/6,877.62
  6. Step 6: Final answer
    x = 5,830.54

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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.