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Finding the Fourth Proportional to 9,980.72, 13,774.08 and 6,001.76

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Solution

The fourth proportional to 9,980.72, 13,774.08 and 6,001.76 is: 8,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.72 : 13,774.08 = 6,001.76 : x
  2. Step 2: Convert to fraction form
    9,980.72/13,774.08 = 6,001.76/x
  3. Step 3: Cross multiply
    9,980.72x = 13,774.08 × 6,001.76
  4. Step 4: Simplify right side
    9,980.72x = 82,668,722.38
  5. Step 5: Solve for x
    x = 82,668,722.38/9,980.72
  6. Step 6: Final answer
    x = 8,282.84

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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.