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Finding the Fourth Proportional to 9,762.62, 14,652.13 and 4,220.20

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Solution

The fourth proportional to 9,762.62, 14,652.13 and 4,220.20 is: 6,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.62 : 14,652.13 = 4,220.20 : x
  2. Step 2: Convert to fraction form
    9,762.62/14,652.13 = 4,220.20/x
  3. Step 3: Cross multiply
    9,762.62x = 14,652.13 × 4,220.20
  4. Step 4: Simplify right side
    9,762.62x = 61,834,845.77
  5. Step 5: Solve for x
    x = 61,834,845.77/9,762.62
  6. Step 6: Final answer
    x = 6,333.84

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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.