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Finding the Fourth Proportional to 9,971.04, 13,745.52 and 6,977.76

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Solution

The fourth proportional to 9,971.04, 13,745.52 and 6,977.76 is: 9,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.04 : 13,745.52 = 6,977.76 : x
  2. Step 2: Convert to fraction form
    9,971.04/13,745.52 = 6,977.76/x
  3. Step 3: Cross multiply
    9,971.04x = 13,745.52 × 6,977.76
  4. Step 4: Simplify right side
    9,971.04x = 95,912,939.64
  5. Step 5: Solve for x
    x = 95,912,939.64/9,971.04
  6. Step 6: Final answer
    x = 9,619.15

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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.