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Finding the Fourth Proportional to 9,095.38, 13,643.06 and 2,855.94

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Solution

The fourth proportional to 9,095.38, 13,643.06 and 2,855.94 is: 4,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.38 : 13,643.06 = 2,855.94 : x
  2. Step 2: Convert to fraction form
    9,095.38/13,643.06 = 2,855.94/x
  3. Step 3: Cross multiply
    9,095.38x = 13,643.06 × 2,855.94
  4. Step 4: Simplify right side
    9,095.38x = 38,963,760.78
  5. Step 5: Solve for x
    x = 38,963,760.78/9,095.38
  6. Step 6: Final answer
    x = 4,283.91

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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.