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Finding the Fourth Proportional to 9,957, 14,937.42 and 4,485

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Solution

The fourth proportional to 9,957, 14,937.42 and 4,485 is: 6,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957 : 14,937.42 = 4,485 : x
  2. Step 2: Convert to fraction form
    9,957/14,937.42 = 4,485/x
  3. Step 3: Cross multiply
    9,957x = 14,937.42 × 4,485
  4. Step 4: Simplify right side
    9,957x = 66,994,328.70
  5. Step 5: Solve for x
    x = 66,994,328.70/9,957
  6. Step 6: Final answer
    x = 6,728.36

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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.