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Finding the Fourth Proportional to 6,961.51, 9,607.05 and 3,977.28

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Solution

The fourth proportional to 6,961.51, 9,607.05 and 3,977.28 is: 5,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.51 : 9,607.05 = 3,977.28 : x
  2. Step 2: Convert to fraction form
    6,961.51/9,607.05 = 3,977.28/x
  3. Step 3: Cross multiply
    6,961.51x = 9,607.05 × 3,977.28
  4. Step 4: Simplify right side
    6,961.51x = 38,209,927.82
  5. Step 5: Solve for x
    x = 38,209,927.82/6,961.51
  6. Step 6: Final answer
    x = 5,488.74

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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.