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Finding the Fourth Proportional to 9,934.54, 14,897.91 and 3,607.92

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Solution

The fourth proportional to 9,934.54, 14,897.91 and 3,607.92 is: 5,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.54 : 14,897.91 = 3,607.92 : x
  2. Step 2: Convert to fraction form
    9,934.54/14,897.91 = 3,607.92/x
  3. Step 3: Cross multiply
    9,934.54x = 14,897.91 × 3,607.92
  4. Step 4: Simplify right side
    9,934.54x = 53,750,467.45
  5. Step 5: Solve for x
    x = 53,750,467.45/9,934.54
  6. Step 6: Final answer
    x = 5,410.46

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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.