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Finding the Fourth Proportional to 9,093.48, 13,639.74 and 2,937

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Solution

The fourth proportional to 9,093.48, 13,639.74 and 2,937 is: 4,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.48 : 13,639.74 = 2,937 : x
  2. Step 2: Convert to fraction form
    9,093.48/13,639.74 = 2,937/x
  3. Step 3: Cross multiply
    9,093.48x = 13,639.74 × 2,937
  4. Step 4: Simplify right side
    9,093.48x = 40,059,916.38
  5. Step 5: Solve for x
    x = 40,059,916.38/9,093.48
  6. Step 6: Final answer
    x = 4,405.34

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Why These Related Problems?

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