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Finding the Fourth Proportional to 9,199.02, 12,694.54 and 5,007.28

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Solution

The fourth proportional to 9,199.02, 12,694.54 and 5,007.28 is: 6,909.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.02 : 12,694.54 = 5,007.28 : x
  2. Step 2: Convert to fraction form
    9,199.02/12,694.54 = 5,007.28/x
  3. Step 3: Cross multiply
    9,199.02x = 12,694.54 × 5,007.28
  4. Step 4: Simplify right side
    9,199.02x = 63,565,116.25
  5. Step 5: Solve for x
    x = 63,565,116.25/9,199.02
  6. Step 6: Final answer
    x = 6,909.99

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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.