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Finding the Fourth Proportional to 9,369.64, 12,930.68 and 5,177.88

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Solution

The fourth proportional to 9,369.64, 12,930.68 and 5,177.88 is: 7,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369.64 : 12,930.68 = 5,177.88 : x
  2. Step 2: Convert to fraction form
    9,369.64/12,930.68 = 5,177.88/x
  3. Step 3: Cross multiply
    9,369.64x = 12,930.68 × 5,177.88
  4. Step 4: Simplify right side
    9,369.64x = 66,953,509.36
  5. Step 5: Solve for x
    x = 66,953,509.36/9,369.64
  6. Step 6: Final answer
    x = 7,145.79

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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.