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Finding the Fourth Proportional to 9,278.26, 13,916.76 and 4,349

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Solution

The fourth proportional to 9,278.26, 13,916.76 and 4,349 is: 6,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.26 : 13,916.76 = 4,349 : x
  2. Step 2: Convert to fraction form
    9,278.26/13,916.76 = 4,349/x
  3. Step 3: Cross multiply
    9,278.26x = 13,916.76 × 4,349
  4. Step 4: Simplify right side
    9,278.26x = 60,523,989.24
  5. Step 5: Solve for x
    x = 60,523,989.24/9,278.26
  6. Step 6: Final answer
    x = 6,523.20

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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.