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Finding the Fourth Proportional to 9,622.47, 14,430.22 and 4,076.20

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Solution

The fourth proportional to 9,622.47, 14,430.22 and 4,076.20 is: 6,112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.47 : 14,430.22 = 4,076.20 : x
  2. Step 2: Convert to fraction form
    9,622.47/14,430.22 = 4,076.20/x
  3. Step 3: Cross multiply
    9,622.47x = 14,430.22 × 4,076.20
  4. Step 4: Simplify right side
    9,622.47x = 58,820,416.50
  5. Step 5: Solve for x
    x = 58,820,416.50/9,622.47
  6. Step 6: Final answer
    x = 6,112.82

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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.