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Finding the Fourth Proportional to 6,966.76, 9,616.28 and 4,482.76

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Solution

The fourth proportional to 6,966.76, 9,616.28 and 4,482.76 is: 6,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.76 : 9,616.28 = 4,482.76 : x
  2. Step 2: Convert to fraction form
    6,966.76/9,616.28 = 4,482.76/x
  3. Step 3: Cross multiply
    6,966.76x = 9,616.28 × 4,482.76
  4. Step 4: Simplify right side
    6,966.76x = 43,107,475.33
  5. Step 5: Solve for x
    x = 43,107,475.33/6,966.76
  6. Step 6: Final answer
    x = 6,187.59

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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.