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Finding the Fourth Proportional to 9,893.52, 14,840.28 and 4,696.56

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Solution

The fourth proportional to 9,893.52, 14,840.28 and 4,696.56 is: 7,044.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.52 : 14,840.28 = 4,696.56 : x
  2. Step 2: Convert to fraction form
    9,893.52/14,840.28 = 4,696.56/x
  3. Step 3: Cross multiply
    9,893.52x = 14,840.28 × 4,696.56
  4. Step 4: Simplify right side
    9,893.52x = 69,698,265.44
  5. Step 5: Solve for x
    x = 69,698,265.44/9,893.52
  6. Step 6: Final answer
    x = 7,044.84

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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.