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Finding the Fourth Proportional to 9,635.68, 14,453.44 and 4,957

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Solution

The fourth proportional to 9,635.68, 14,453.44 and 4,957 is: 7,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.68 : 14,453.44 = 4,957 : x
  2. Step 2: Convert to fraction form
    9,635.68/14,453.44 = 4,957/x
  3. Step 3: Cross multiply
    9,635.68x = 14,453.44 × 4,957
  4. Step 4: Simplify right side
    9,635.68x = 71,645,702.08
  5. Step 5: Solve for x
    x = 71,645,702.08/9,635.68
  6. Step 6: Final answer
    x = 7,435.46

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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.