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Finding the Fourth Proportional to 6,972.48, 9,627.12 and 4,619.52

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Solution

The fourth proportional to 6,972.48, 9,627.12 and 4,619.52 is: 6,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.48 : 9,627.12 = 4,619.52 : x
  2. Step 2: Convert to fraction form
    6,972.48/9,627.12 = 4,619.52/x
  3. Step 3: Cross multiply
    6,972.48x = 9,627.12 × 4,619.52
  4. Step 4: Simplify right side
    6,972.48x = 44,472,673.38
  5. Step 5: Solve for x
    x = 44,472,673.38/6,972.48
  6. Step 6: Final answer
    x = 6,378.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.