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Finding the Fourth Proportional to 9,820, 14,735.76 and 3,897.44

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Solution

The fourth proportional to 9,820, 14,735.76 and 3,897.44 is: 5,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820 : 14,735.76 = 3,897.44 : x
  2. Step 2: Convert to fraction form
    9,820/14,735.76 = 3,897.44/x
  3. Step 3: Cross multiply
    9,820x = 14,735.76 × 3,897.44
  4. Step 4: Simplify right side
    9,820x = 57,431,740.45
  5. Step 5: Solve for x
    x = 57,431,740.45/9,820
  6. Step 6: Final answer
    x = 5,848.45

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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.