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Finding the Fourth Proportional to 6,964.76, 9,605.76 and 6,123.68

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Solution

The fourth proportional to 6,964.76, 9,605.76 and 6,123.68 is: 8,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.76 : 9,605.76 = 6,123.68 : x
  2. Step 2: Convert to fraction form
    6,964.76/9,605.76 = 6,123.68/x
  3. Step 3: Cross multiply
    6,964.76x = 9,605.76 × 6,123.68
  4. Step 4: Simplify right side
    6,964.76x = 58,822,600.40
  5. Step 5: Solve for x
    x = 58,822,600.40/6,964.76
  6. Step 6: Final answer
    x = 8,445.75

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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.