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Finding the Fourth Proportional to 9,722.52, 14,571.48 and 5,280

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Solution

The fourth proportional to 9,722.52, 14,571.48 and 5,280 is: 7,913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.52 : 14,571.48 = 5,280 : x
  2. Step 2: Convert to fraction form
    9,722.52/14,571.48 = 5,280/x
  3. Step 3: Cross multiply
    9,722.52x = 14,571.48 × 5,280
  4. Step 4: Simplify right side
    9,722.52x = 76,937,414.40
  5. Step 5: Solve for x
    x = 76,937,414.40/9,722.52
  6. Step 6: Final answer
    x = 7,913.32

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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.