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Finding the Fourth Proportional to 9,980.88, 14,973.03 and 4,134.30

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Solution

The fourth proportional to 9,980.88, 14,973.03 and 4,134.30 is: 6,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.88 : 14,973.03 = 4,134.30 : x
  2. Step 2: Convert to fraction form
    9,980.88/14,973.03 = 4,134.30/x
  3. Step 3: Cross multiply
    9,980.88x = 14,973.03 × 4,134.30
  4. Step 4: Simplify right side
    9,980.88x = 61,902,997.93
  5. Step 5: Solve for x
    x = 61,902,997.93/9,980.88
  6. Step 6: Final answer
    x = 6,202.16

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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.