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Finding the Fourth Proportional to 7,148.84, 9,865.41 and 3,962.30

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Solution

The fourth proportional to 7,148.84, 9,865.41 and 3,962.30 is: 5,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.84 : 9,865.41 = 3,962.30 : x
  2. Step 2: Convert to fraction form
    7,148.84/9,865.41 = 3,962.30/x
  3. Step 3: Cross multiply
    7,148.84x = 9,865.41 × 3,962.30
  4. Step 4: Simplify right side
    7,148.84x = 39,089,714.04
  5. Step 5: Solve for x
    x = 39,089,714.04/7,148.84
  6. Step 6: Final answer
    x = 5,467.98

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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.