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Finding the Fourth Proportional to 8,964.53, 12,367.59 and 5,777.58

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Solution

The fourth proportional to 8,964.53, 12,367.59 and 5,777.58 is: 7,970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.53 : 12,367.59 = 5,777.58 : x
  2. Step 2: Convert to fraction form
    8,964.53/12,367.59 = 5,777.58/x
  3. Step 3: Cross multiply
    8,964.53x = 12,367.59 × 5,777.58
  4. Step 4: Simplify right side
    8,964.53x = 71,454,740.63
  5. Step 5: Solve for x
    x = 71,454,740.63/8,964.53
  6. Step 6: Final answer
    x = 7,970.83

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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.