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Finding the Fourth Proportional to 9,980.82, 13,779.72 and 7,008.66

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Solution

The fourth proportional to 9,980.82, 13,779.72 and 7,008.66 is: 9,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.82 : 13,779.72 = 7,008.66 : x
  2. Step 2: Convert to fraction form
    9,980.82/13,779.72 = 7,008.66/x
  3. Step 3: Cross multiply
    9,980.82x = 13,779.72 × 7,008.66
  4. Step 4: Simplify right side
    9,980.82x = 96,577,372.38
  5. Step 5: Solve for x
    x = 96,577,372.38/9,980.82
  6. Step 6: Final answer
    x = 9,676.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.