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Finding the Fourth Proportional to 6,352.62, 9,532.56 and 4,962.06

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Solution

The fourth proportional to 6,352.62, 9,532.56 and 4,962.06 is: 7,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.62 : 9,532.56 = 4,962.06 : x
  2. Step 2: Convert to fraction form
    6,352.62/9,532.56 = 4,962.06/x
  3. Step 3: Cross multiply
    6,352.62x = 9,532.56 × 4,962.06
  4. Step 4: Simplify right side
    6,352.62x = 47,301,134.67
  5. Step 5: Solve for x
    x = 47,301,134.67/6,352.62
  6. Step 6: Final answer
    x = 7,445.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.