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Finding the Fourth Proportional to 9,372.52, 14,059.56 and 2,447

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Solution

The fourth proportional to 9,372.52, 14,059.56 and 2,447 is: 3,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,372.52 : 14,059.56 = 2,447 : x
  2. Step 2: Convert to fraction form
    9,372.52/14,059.56 = 2,447/x
  3. Step 3: Cross multiply
    9,372.52x = 14,059.56 × 2,447
  4. Step 4: Simplify right side
    9,372.52x = 34,403,743.32
  5. Step 5: Solve for x
    x = 34,403,743.32/9,372.52
  6. Step 6: Final answer
    x = 3,670.70

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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.