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Finding the Fourth Proportional to 9,980.46, 13,775.92 and 6,997.03

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Solution

The fourth proportional to 9,980.46, 13,775.92 and 6,997.03 is: 9,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.46 : 13,775.92 = 6,997.03 : x
  2. Step 2: Convert to fraction form
    9,980.46/13,775.92 = 6,997.03/x
  3. Step 3: Cross multiply
    9,980.46x = 13,775.92 × 6,997.03
  4. Step 4: Simplify right side
    9,980.46x = 96,390,490.53
  5. Step 5: Solve for x
    x = 96,390,490.53/9,980.46
  6. Step 6: Final answer
    x = 9,657.92

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