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Finding the Fourth Proportional to 9,199.36, 12,695.18 and 5,007.64

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Solution

The fourth proportional to 9,199.36, 12,695.18 and 5,007.64 is: 6,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.36 : 12,695.18 = 5,007.64 : x
  2. Step 2: Convert to fraction form
    9,199.36/12,695.18 = 5,007.64/x
  3. Step 3: Cross multiply
    9,199.36x = 12,695.18 × 5,007.64
  4. Step 4: Simplify right side
    9,199.36x = 63,572,891.18
  5. Step 5: Solve for x
    x = 63,572,891.18/9,199.36
  6. Step 6: Final answer
    x = 6,910.58

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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.