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Finding the Fourth Proportional to 9,206.94, 13,802.42 and 4,274.04

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Solution

The fourth proportional to 9,206.94, 13,802.42 and 4,274.04 is: 6,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.94 : 13,802.42 = 4,274.04 : x
  2. Step 2: Convert to fraction form
    9,206.94/13,802.42 = 4,274.04/x
  3. Step 3: Cross multiply
    9,206.94x = 13,802.42 × 4,274.04
  4. Step 4: Simplify right side
    9,206.94x = 58,992,095.18
  5. Step 5: Solve for x
    x = 58,992,095.18/9,206.94
  6. Step 6: Final answer
    x = 6,407.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.